U = {all counting numbers from 1-10} A = {multiples of 2} B = {all multiples of

Question

U = {all counting numbers from 1-10} A = {multiples of 2} B = {all multiples of 3 less than 10}. a. Explain A and B are mutually exclusive or not b. Calculate P(A) c. Calculate P(B) d. Calculate P(A or B) e. List A^c f. Calculate P(A^c) A grocery store employs cashiers, stock clerks, and deli personnel. The distribution of employees according to marital status is shown here: If an employee is selected at random, find the following probabilities: a) The employee is a stock clerk or married. b) The employee is not married C) The employee is a cashier or is not married.

Explanation / Answer

Question 1. U has 10 numbers from 1 to 10.

A is a set containing 2,4,6,8,10

B contains 3,6,9

A. Yes, events are mutually exclusive because there is no common element between the two sets

B. P(A)= 5/10 or 1/2

C. P(B)= 3/10

D. P( A or B) will be P(A)+P(B) = 8/10 or 4/5

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