Q. 43.7( 3 Votes )

In a single throw

Answer :

Given: A dice is thrown once.


To Find: Find the given events, and also find the Also, find A B, A B, B C, E F, D F and


Explanation: In a single throw of a die, the possible events are:


S = {1, 2, 3, 4, 5, 6}


Now, According to the subparts of the question, we have certain events as:


(i) A = getting a number below 7


So, The sample spaces for A are:


A = {1, 2, 3, 4, 5, 6}


(ii) B = Getting a number greater than 7


So, the sample spaces for B are:


B = {Փ}


(iii) C = Getting multiple of 3


So, The Sample space of C is


C = {3, 6}


(iv) D = Getting a number less than 4


So, The sample space for D is


D = {1, 2, 3}


(v) E = Getting an even number greater than 4.


The sample space for E is


E = {6}


(vi) F = Getting a number not less than 3.


The sapmle space for F is


F = {3, 4, 5, 6}


Now,


A = {1, 2, 3, 4, 5, 6} and B = {Փ}



A = {1, 2, 3, 4, 5, 6} and B = {Փ}



B = {Փ} and C = {3, 6}



F = {3, 4, 5, 6}and E = {6}



E = {6} and D = {1, 2, 3}



And, For


S = {1, 2, 3, 4, 5, 6} and F = {3, 4, 5, 6}



Hence, These are the events for given ecperiment


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