CK-12 Probability and Statistics - Advanced

3.5. Additive and Multiplicative Rules http://www.ck12.org

Review Questions

1. Two fair dice are tossed and the following events are identified:

A:{Sum of the numbers is odd}

B:{Sum of the numbers is 9, 11 ,or 12}

a. Are eventsAandBindependent? Why?

b. Are eventsAandBmutually exclusive? Why?

2. The probability that a certain brand of television fails when first used is 0. 1 .If it does not fail immediately,
   the probability that it will work properly for 1 year is 0. 99 .What is the probability that a new television of the
   same brand will last 1 year?

Review Answers

1. 
   
   
   
   1. No;P(A) 6 =P(A|B)
   
   
   2. No;P(A∩B) 6 = 0
   
   
   
   


2. 
   
   
   
   0. 891