{"id":11730,"date":"2024-03-09T16:21:47","date_gmt":"2024-03-09T10:51:47","guid":{"rendered":"https:\/\/tsboardsolutions.in\/?p=11730"},"modified":"2024-03-12T17:52:37","modified_gmt":"2024-03-12T12:22:37","slug":"ts-inter-2nd-year-maths-2a-solutions-chapter-9-ex-9a","status":"publish","type":"post","link":"https:\/\/tsboardsolutions.in\/ts-inter-2nd-year-maths-2a-solutions-chapter-9-ex-9a\/","title":{"rendered":"TS Inter 2nd Year Maths 2A Solutions Chapter 9 Probability Ex 9(a)"},"content":{"rendered":"

Students must practice this TS Intermediate Maths 2A Solutions<\/a> Chapter 9 Probability Ex 9(a) to find a better approach to solving the problems.<\/p>\n

TS Inter 2nd Year Maths 2A Solutions Chapter 9 Probability Ex 9(a)<\/h2>\n

I.
\nQuestion 1.
\nIn the experiment of throwing a die, consider the following events A = {1, 3, 5}, B = {2, 4, 6}, C = {1, 2, 3}. Are these events equally likely?
\nSolution:
\nIf the die is thrown there is a possibility of getting 1 or 2 or 3 or 4 or 5 or 6 on any face.
\nHence the events A = {1, 3, 5}, B = {2, 4, 6} and C = {1, 2, 3} are equiprobable since there is no reason to expect one in preference to others.
\nHence the events A, B, C are equally likely.<\/p>\n

Question 2.
\nIn the experiment of throwing a die, consider the following events A = {1, 3, 5}, B = {2, 4}, C = {6} . Are these events mutually exclusive?
\nSolution:
\nThe three events A, B, C are mutually exclusive since the occurrence of one of the events prevents the happening of any one of the remaining events.
\nSince A \u2229 B \u2229 C = {1, 3, 5} \u2229 {2, 4} \u2229 {6}
\nWe say that the events are A, B, C are mutually exclusive.<\/p>\n

Question 3.
\nIn the experiment of throwing a die, consider the events A = {2, 4, 6}, B = {(3, 6}, C = {1, 5, 6}. Are these events exhaustive?
\nSolution:
\nThe three events A, B, C are exhaustive if A \u222a B \u222a C = S
\nA \u222a B \u222a C = {2, 4, 6} \u222a {3, 6} \u222a {15 6}
\n= {1, 2, 3, 4, 5, 6} = S.<\/p>\n

\"TS<\/p>\n

II.
\nQuestion 1.
\nGive two examples of mutually exclusive and exhaustive events.
\nSolution:
\nIn tossing a coin there are two exhaustive events Head (H) and Tail (T).
\nIn throwing a die there are six exhaustive events of getting I or 2 or 3 or 4 or 5 or 6.
\nIn tossing a coin either heads comes up or tail but both cannot happen at the same time. These two events are mutually exclusive because happening of one event prevents the happening of the other.
\nIn a well shuffled pack of cards if a card is drawn from 52 cards then getting an ace and getting a king are mutually exclusive events.<\/p>\n

Question 2.
\nGive examples of two events that are neither mutually exclusive nor exhaustive.
\nSolution:
\nIf a coin is tossed twice or two coins are tossed a time, then the events of getting head or tail are not mutually exclusive nor exhaustive.
\nSince we get {HH, HT, TH, TT} as events.
\nFrom a well shuffled pack of cards if two cards are drawn one after other with replacement, then getting aces on two attempts are not mutually exclusive nor exhaustive.<\/p>\n

Question 3.
\nGive two examples of events that are neither equally likely nor exhaustive.
\nSolution:
\nIf a die is thrown then the event of getting \u20181\u2019 and the event of getting a prime number are neither equally likely events nor exhaustive events.
\nIn the experiment of throwing a pair of dice then the events
\nE1<\/sub> = A sum 7 ( of the numbers that appear on the uppermost faces of the dice ) and
\nE3<\/sub> = A sum > 7 ( of the number that appear on the uppermost faces of the dice ) are neither equally likely nor mutually exclusive.<\/p>\n","protected":false},"excerpt":{"rendered":"

Students must practice this TS Intermediate Maths 2A Solutions Chapter 9 Probability Ex 9(a) to find a better approach to solving the problems. TS Inter 2nd Year Maths 2A Solutions Chapter 9 Probability Ex 9(a) I. Question 1. In the experiment of throwing a die, consider the following events A = {1, 3, 5}, B … Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/11730"}],"collection":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/comments?post=11730"}],"version-history":[{"count":2,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/11730\/revisions"}],"predecessor-version":[{"id":11732,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/11730\/revisions\/11732"}],"wp:attachment":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/media?parent=11730"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/categories?post=11730"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/tags?post=11730"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}