) If you know that the sample space of an experiment is S = {1 ≤ integers ≤ 12} and this experiment has the following 3 events A = {1, 3, 5, 12), B = {2, 6, 7, 8), and C= { 3, 4, 6, 7), find the following: a) Anc b) BUC c) C

) If you know that the sample space of an experiment is S = {1 ≤ integers ≤ 12} and this experiment has the following 3 events A = {1, 3, 5, 12), B = {2, 6, 7, 8), and C= { 3, 4, 6, 7), find the following: a) Anc b) BUC c) C

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

100%

) If you know that the sample space of an experiment is S = {1 ≤ integers ≤ 12} and this experiment
has the following 3 events A = {1, 3, 5, 12), B = {2, 6, 7, 8), and C= { 3, 4, 6, 7), find the following:
a) Anc
b) BUC
c) C

Expert Solution

Step 1- Writing given data

Given that

Sample space of an experiment (S) = { 1 $\leq$ integers $\leq$ 12 }

Sample space (S) = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 }

Events :

A = { 1 ,3 , 5 , 12 }

B = { 2 ,6 , 7 , 8 }

C = { 3 , 4 , 6 , 7 }

We know that

$\cup$ = Union of sets = Writing all numbers in the both sets.

$\cap$ = Intersection of sets = Writing numbers that are common in the sets.

Compliment = Numbers other than present in the sample space.

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