Solving these TS 10th Class Maths Bits with Answers Chapter 13 Probability Bits for 10th Class will help students to build their problem-solving skills.

## Probability Bits for 10th Class

Question 1.

A sample space consists of 80 elementary events that are equally likely. Probability of each of them is ………….

A) 1

B) 0

C) \(\frac{1}{80}\)

D) 80

Answer:

C) \(\frac{1}{80}\)

Question 2.

If I calculate the probability of an events as – 0.5, then

A) The probability of not happening is 0.5

B) The probability of happening is 0.5

C) The event is not going to happen

D) I made a mistake

Answer:

D) I made a mistake

Question 3.

On a multiple choice test, each question has 4 possible choices. If you make a random guess, probability that you are correct is …………..

A) \(\frac{1}{4}\)

B) 1

C) 0

D) 4

Answer:

A) \(\frac{1}{4}\)

Question 4.

A bag contains 6 red marbles, 3 blue marbles and 7 green marbles. If a marble is randomly selected from the bag, the probability that it is blue ……………

A) \(\frac{1}{6}\)

B) \(\frac{1}{3}\)

C) \(\frac{3}{16}\)

D) \(\frac{13}{16}\)

Answer:

C) \(\frac{3}{16}\)

Question 5.

If an individual is selected at random, prob ability that he has a birthday in July in 2012?

A) \(\frac{30}{365}\)

B) \(\frac{31}{365}\)

C) \(\frac{30}{366}\)

D) \(\frac{31}{366}\)

Answer:

D) \(\frac{31}{366}\)

Question 6.

When a card is picked up from a deck of cards, it should be either a red or a black card because these events are :

A) Mutually exclusive

B) Equally likely

C) Complementary

D) All of these

Answer:

C) Complementary

Question 7.

Probability of getting an even or odd number in throwing a dice is …………..

A) \(\frac{1}{2}\)

B) 1

C) 0

D) \(\frac{1}{4}\)

Answer:

B) 1

Question 8.

Probability of getting 7 on a 6 faced die when it is thrown is ……………

A) 1

B) 0

C) \(\frac{1}{6}\)

D) \(\frac{1}{7}\)

Answer:

B) 0

Question 9.

Among the following probability of an event E, P(E) = …………….

A) -0.5

B) 3

C) 0.2

D) 500%

Answer:

C) 0.2

Question 10.

Two unbiased coins are tossed simultaneously. Probability of getting atmost two heads ………….

A) \(\frac{1}{4}\)

B) \(\frac{1}{2}\)

C) 1

D) \(\frac{3}{4}\)

Answer:

D) \(\frac{3}{4}\)

Question 11.

A card is pulled from a deck of 52 cards. The probability of obtaining a club is

A) \(\frac{1}{3}\)

B) \(\frac{13}{26}\)

C) \(\frac{2}{11}\)

D) \(\frac{1}{4}\)

Answer:

D) \(\frac{1}{4}\)

Question 12.

If a coin is tossed, then the probability that a head turns up is

A) \(\frac{1}{2}\)

B) \(\frac{1}{4}\)

C) \(\frac{1}{3}\)

D) \(\frac{1}{6}\)

Answer:

A) \(\frac{1}{2}\)

Question 13.

If a die is rolled then the probability of getting an even number is

A) \(\frac{1}{6}\)

B) \(\frac{1}{3}\)

C) \(\frac{1}{2}\)

D) \(\frac{2}{5}\)

Answer:

C) \(\frac{1}{2}\)

Question 14.

If two dice are thrown simutlaneously, the probability of showing the same numbers on their faces is

A) \(\frac{1}{6}\)

B) \(\frac{1}{4}\)

C) \(\frac{1}{12}\)

D) \(\frac{1}{3}\)

Answer:

A) \(\frac{1}{6}\)

Question 15.

If a card is drawn from a deck of 52 cards the probability that it is a club card is

A) \(\frac{1}{52}\)

B) \(\frac{1}{4}\)

C) \(\frac{1}{13}\)

D) \(\frac{1}{26}\)

Answer:

B) \(\frac{1}{4}\)

Question 16.

A box contains pencils and pens. The probability of picking out a pen at random is 0.65. Then the probability of not picking a pen is

A) 0.45

B) 0.55

C) 0.65

D) 0.35

Answer:

D) 0.35

Question 17.

In a simultaneous toss of two coins, prob-ability of no tails is

A) \(\frac{1}{2}\)

B) \(\frac{1}{3}\)

C) \(\frac{1}{4}\)

D) \(\frac{3}{4}\)

Answer:

D) \(\frac{3}{4}\)

Question 18.

In a simultaneous toss of two coins, the probability of atleast one head is

A) \(\frac{1}{3}\)

B) \(\frac{2}{4}\)

C) \(\frac{3}{4}\)

D) \(\frac{1}{4}\)

Answer:

C) \(\frac{3}{4}\)

Question 19.

In a single throw of two dice, the probability of getting a total of 12 is

A) \(\frac{1}{18}\)

B) \(\frac{1}{36}\)

C) \(\frac{1}{9}\)

D) \(\frac{1}{12}\)

Answer:

B) \(\frac{1}{36}\)

Question 20.

In a single throw of two dice, the probability of getting a total of 11 is

A) \(\frac{1}{9}\)

B) \(\frac{1}{18}\)

C) \(\frac{1}{12}\)

D) \(\frac{35}{36}\)

Answer:

B) \(\frac{1}{18}\)

Question 21.

In a single throw of two dice, the probability of getting a doublet is

A) \(\frac{5}{6}\)

B) \(\frac{3}{11}\)

C) \(\frac{5}{12}\)

D) \(\frac{1}{6}\)

Answer:

D) \(\frac{1}{6}\)

Question 22.

In a single throw of two dice, the probability of getting distinct numbers is

A) \(\frac{5}{6}\)

B) \(\frac{5}{12}\)

C) \(\frac{5}{36}\)

D) \(\frac{4}{36}\)

Answer:

A) \(\frac{5}{6}\)

Question 23.

In a single throw of two dice, the probability of getting even doublet is

A) \(\frac{3}{13}\)

B) \(\frac{1}{12}\)

C) \(\frac{1}{15}\)

D) \(\frac{1}{18}\)

Answer:

B) \(\frac{1}{12}\)

Question 24.

When two dice are rolled, probability of getting odd doublet is

A) \(\frac{1}{12}\)

B) \(\frac{1}{18}\)

C) \(\frac{1}{9}\)

D) \(\frac{1}{6}\)

Answer:

A) \(\frac{1}{12}\)

Question 25.

Two dice are rolled, the probability of getting 6 as the product is

A) \(\frac{1}{18}\)

B) \(\frac{1}{12}\)

C) \(\frac{1}{9}\)

D) \(\frac{1}{6}\)

Answer:

C) \(\frac{1}{9}\)

Question 26.

A page is opened at a random from a book containing 90 pages. Then the probability of a page number is a perfect square is …………….

A) \(\frac{90}{90}\)

B) \(\frac{2}{90}\)

C) \(\frac{1}{90}\)

D) None

Answer:

C) \(\frac{1}{90}\)

Question 27.

The probability of picking a red king card from a well shuffled deck of playing cards is ……………. (A.P. June. ’15)

A) \(\frac{1}{3}\)

B) \(\frac{1}{26}\)

C) \(\frac{1}{2}\)

D) 1

Answer:

B) \(\frac{1}{26}\)

Question 28.

Getting a prime or composite number is a ………………. event (A.P. Mar. ’15)

A) mutually exclusive

B) equally likely

C) 0

D) none

Answer:

A) mutually exclusive

Question 29.

P(E) = 0.65 then P(\(\overline{\mathrm{E}}\)) = ……………. (T.S. Mar. ’15)

A) 0.25

B) 1

C) 0.35

D) 0

Answer:

C) 0.35

Question 30.

If P(E) = 0.82 then P(\(\overline{\mathrm{E}}\)) = ……………..

A) 0.18

B) 0.28

C) 0.38

D) P(E) = P(\(\overline{\mathrm{E}}\))

Answer:

A) 0.18

Question 31.

Let E, \(\overline{\mathrm{E}}\)E be the complimentary events, in a random experiment, then which of the following is true ? (T.S. Mar. ’16)

A) P(E) + P(\(\overline{\mathrm{E}}\)) = 2

B) P(E) + P(\(\overline{\mathrm{E}}\)) = 3

C) P(\(\overline{\mathrm{E}}\)) + P(E) = 1

D) P(E) + P(\(\overline{\mathrm{E}}\)) = 4

Answer:

C) P(\(\overline{\mathrm{E}}\)) + P(E) = 1

Question 32.

Two fair dice are rolled and the face values are added. The probability of getting an odd number greater than 8 is ……………..

A) \(\frac{2}{9}\)

B) \(\frac{1}{6}\)

C) \(\frac{1}{4}\)

D) \(\frac{1}{9}\)

Answer:

B) \(\frac{1}{6}\)

Question 33.

A jar contains 3 mangoes and x guavas. Two fruits are pulled from the jar without replacement. An expression that represents the probability one fruit is mango and the next fruit is guava is …………..

Answer:

B)

Question 34.

Three different greeting cards and their corresponding covers are randomly strewn about on a table. If Sita puts the greeting cards into the covers at random, the probability of correctly matching of all the greeting cards and covers is …………..

A) \(\frac{5}{6}\)

B) \(\frac{2}{3}\)

C) \(\frac{1}{6}\)

D) \(\frac{1}{9}\)

Answer:

C) \(\frac{1}{6}\)

Question 35.

If two dice are rolled at a time then the probability that the two faces show different numbers is

A) \(\frac{1}{6}\)

B) \(\frac{35}{36}\)

C) \(\frac{5}{6}\)

D) \(\frac{1}{36}\)

Answer:

C) \(\frac{5}{6}\)

Question 36.

The probability of getting a number less than 5 when a die is rolled is

A) \(\frac{4}{5}\)

B) \(\frac{2}{3}\)

C) \(\frac{3}{6}\)

D) \(\frac{1}{6}\)

Answer:

B) \(\frac{2}{3}\)

Question 37.

If a ball is drawn at random from a box containing 11 red balls, 6 white balls and 9 green balls then, the probability that the ball is not green is

A) \(\frac{9}{26}\)

B) \(\frac{17}{26}\)

C) \(\frac{11}{26}\)

D) \(\frac{6}{26}\)

Answer:

B) \(\frac{17}{26}\)

Question 38.

Which of the following are equally likely events ?

A) Getting a Head or Tail in tossing a coin.

B) In a throw of a die, getting prime or composite number.

C) Drawing a number card from 1 – 50, a number divisible by 6 or 8.

D) Picking a heart or black card from a deck of playing cards.

Answer:

A) Getting a Head or Tail in tossing a coin.

Question 39.

In a single throw of two dice, the probability of getting a total of 12 is

A) \(\frac{1}{18}\)

B) \(\frac{1}{36}\)

C) \(\frac{1}{9}\)

D) \(\frac{5}{6}\)

Answer:

B) \(\frac{1}{36}\)

Question 40.

Two dice are rolled, the probability of getting 6 as the product is

A) \(\frac{1}{18}\)

B) \(\frac{1}{12}\)

C) \(\frac{1}{9}\)

D) \(\frac{1}{6}\)

Answer:

C) \(\frac{1}{9}\)

Question 41.

The ‘event’ of getting a number less than or equal to 6 is a …………….

A) base event

B) possible event

C) element

D) sure event

Answer:

D) sure event

Question 42.

When a coin is tossed, the probability of getting a head is ………….

A) \(\frac{1}{2}\)

B) 2

C) -1

D) \(\frac{3}{2}\)

Answer:

A) \(\frac{1}{2}\)

Question 43.

From a deck of cards, a card is drawn at random then, the probability of getting a black face card is …………

A) \(\frac{9}{2}\)

B) \(\frac{1}{4}\)

C) \(\frac{3}{2}\)

D) \(\frac{3}{26}\)

Answer:

D) \(\frac{3}{26}\)

Question 44.

From a bag containing 6 red balls, 5 green balls and 3 blue balls, the probability of getting a green ball at random ……………

A) \(\frac{5}{14}\)

B) \(\frac{4}{5}\)

C) \(\frac{5}{4}\)

D) None

Answer:

A) \(\frac{5}{14}\)

Question 45.

There are 50 cards numbered from 1 to 50. A card is drawn at random, then the probability that the number on the card is divisible by 8 is …………….

A) \(\frac{25}{3}\)

B) \(\frac{3}{25}\)

C) \(\frac{19}{4}\)

D) None

Answer:

B) \(\frac{3}{25}\)

Question 46.

The probability of a certain event is ………..

A) 9

B) 7

C) 0

D) 1

Answer:

D) 1

Question 47.

Probability of an event lies between ………. and ……..

A) 0, 1

B) 2, 3

C) 7, 1

D) 4, 9

Answer:

A) 0, 1

Question 48.

P(E) + P(\(\overline{\mathrm{E}}\)) = ……………….

A) 0

B) 2

C) 1

D) None

Answer:

C) 1

Question 49.

In a box, there are 28 marbles of which x are green and the rest are white. If the probability of getting a green marble is \(\frac{2}{7}\), then number of green marbles = ………….

A) 8

B) 9

C) 10

D) 13

Answer:

A) 8

Question 50.

If E is an event whose probability is \(\frac{2}{5}\), then the probability of not E is …………

A) \(\frac{1}{2}\)

B) \(\frac{5}{3}\)

C) \(\frac{3}{5}\)

D) \(\frac{1}{3}\)

Answer:

C) \(\frac{3}{5}\)

Question 51.

If two dice are rolled simultaneously then the ‘sum’ with greatest possibility to happen is …………..

A) 71

B) 7

C) 3

D) None

Answer:

B) 7

Question 52.

The probability of raining in a day is …………..

A) \(\frac{-1}{2}\)

B) \(\frac{1}{2}\)

C) \(\frac{1}{4}\)

D) None

Answer:

B) \(\frac{1}{2}\)

Question 53.

If one side is chosen at random from the sides of a right triangle, then the probability that it is hypotenuse is ……………

A) 2

B) \(\frac{1}{2}\)

C) 3

D) \(\frac{1}{3}\)

Answer:

D) \(\frac{1}{3}\)

Question 54.

When a dice is thrown, the probability of getting neither a prime nor composite number is ……………

A) \(\frac{1}{3}\)

B) \(\frac{1}{2}\)

C) \(\frac{1}{6}\)

D) None

Answer:

C) \(\frac{1}{6}\)

Question 55.

Getting a Tail or Head ………………..

A) equally likely

B) unlikely

C) exclusive

D) None

Answer:

B) unlikely

Question 56.

Getting a prime (or) composite

A) mutually exclusive

B) likely !

C) 0

D) None

Answer:

D) None

Question 57.

Getting a red card (or) black card is ……………..

A) mutually exclusive

B) more likely

C) less likely

D) None

Answer:

A) mutually exclusive

Question 58.

P (Sure event) = ……………….

A) 1

B) 0

C) -1

D) 2

Answer:

A) 1

Question 59.

P (Impossible event) = ……………..

A) 4

B) 3

C) -1

D) 0

Answer:

D) 0

Question 60.

The probability of a face card from red cards is ……………….

A) \(\frac{3}{13}\)

B) \(\frac{13}{3}\)

C) \(\frac{2}{17}\)

D) None

Answer:

A) \(\frac{3}{13}\)

Question 61.

The probability of drawing a black king from the deck is ………………

A) \(\frac{1}{14}\)

B) \(\frac{1}{3}\)

C) \(\frac{1}{2}\)

D) \(\frac{1}{26}\)

Answer:

D) \(\frac{1}{26}\)

Question 62.

The probability of drawing a black card front he black cards is ………………

A) 3

B) 2

C) 0

D) 1

Answer:

D) 1

Question 63.

The probability of getting two tails when two coins are tossed is ……………..

A) \(\frac{1}{4}\)

B) \(\frac{1}{2}\)

C) \(\frac{2}{3}\)

D) None

Answer:

A) \(\frac{1}{4}\)

Question 64.

There are …………. cards in a pack of playing cards.

A) 19

B) 16

C) 52

D) 50

Answer:

C) 52

Question 65.

P(E) = 0.05 then P(\(\overline{\mathrm{E}}\)) = ……………

A) 1.35

B) 0.95

C) 9.5

D) 1.5

Answer:

B) 0.95

Question 66.

P(G) = \(\frac{4}{17}\), P(\(\overline{\mathrm{G}}\)) = …………..

A) \(\frac{13}{17}\)

B) \(\frac{3}{17}\)

C) \(\frac{7}{17}\)

D) \(\frac{1}{17}\)

Answer:

A) \(\frac{13}{17}\)

Question 67.

P(N) + P(\(\overline{\mathrm{N}}\)) = …………….

A) 0

B) 1

C) 3

D) 7

Answer:

B) 1

Question 68.

A baby is born the probability that it is a boy (or) girl is …………….

A) 1

B) \(\frac{-1}{2}\)

C) \(\frac{1}{3}\)

D) \(\frac{1}{2}\)

Answer:

D) \(\frac{1}{2}\)

Question 69.

P(E) + P (not E) = ………………

A) 1

B) 2

C) 3

D) None

Answer:

A) 1

Question 70.

Identify true statement. ( )

A) 0 < P(E) < 1

B) 0 < P(E) < 2

C) p < P(E)

D) None

Answer:

A) 0 < P(E) < 1

Question 71.

There are ……………… face cards.

A) 1

B) 2

C) 4

D) None

Answer:

D) None

Question 72.

Probability can never be ……………

A) 0

B) 1

C) 0.5

D) -2

Answer:

D) -2

Question 73.

A dice is tossed once then the probability of getting an even number or a multiple of 3 is

A) \(\frac{1}{2}\)

B) \(\frac{2}{3}\)

C) \(\frac{1}{4}\)

D) None

Answer:

B) \(\frac{2}{3}\)

Question 74.

The probability that a leap year has 53 Sundays is ……………….

A) \(\frac{2}{7}\)

B) \(\frac{3}{7}\)

C) \(\frac{1}{7}\)

D) \(\frac{21}{17}\)

Answer:

A) \(\frac{2}{7}\)

Question 75.

Two dice are thrown once together What is the probability of getting a doublet ?

A) \(\frac{1}{4}\)

B) \(\frac{1}{2}\)

C) \(\frac{1}{6}\)

D) None

Answer:

C) \(\frac{1}{6}\)

Question 76.

P(E) – 1 + P(\(\overline{\mathrm{E}}\)) = ………………

A) -2

B) 0

C) 9

D) 2

Answer:

B) 0

Question 77.

P(E) = 0.455 then P(\(\overline{\mathrm{E}}\)) = ……………….

A) 0.545

B) 0.145

C) 0.345

D) None

Answer:

A) 0.545

Question 78.

P(A^{1}) = …………………

A) Φ

B) A

C) 1 – P(A)

D) None

Answer:

C) 1 – P(A)

Question 79.

Karishma and Reshma are playing chess. The probability of winning Karishma is 0.59. Then probability of Reshma winnig the match is …………… (A.P. Mar. ’15)

A) 1

B) 0.46

C) 0.5

D) 0.41

Answer:

D) 0.41

Question 80.

Vineeta said that probability of impossible events is 1. Dhanalakshmi said that probability of sure event is ‘O’ and Sireesha said that probability of any event lies in between 0 and 1. In the above with whom will you agree? (A.P. Mar. ’15)

A) Vineetha

B) Dhanalakshmi

C) Sireesha

D) All the three

Answer:

C) Sireesha

Question 81.

From the figure the probability of getting blue ball is ……………. (A.P. Mar. ’15, ’16)

A) \(\frac{3}{5}\)

B) \(\frac{3}{3}\)

C) \(\frac{5}{5}\)

D) \(\frac{5}{3}\)

Answer:

A) \(\frac{3}{5}\)