If A and B are mutually exclusive and exhaustive, then p(A and B)

August 30, 2017

Question
If A and B are mutually exclusive and exhaustive, then p(A and B) = ____.

1
0
p(A) + p(B)
p(A) + p(B) – p(A and B)
A set of events is exhaustive if ____.

the sum of their probabilities equals one
the set includes all of the possible events
they are mutually exclusive
they are independent
Suppose you are going to randomly order individuals A, B, C, D, E and F. The probability the order will begin A B _ _ _ _ is ____.

1.000
0.033
0.027
0.000

A “hungry” undergraduate student was looking for a way of making some extra money. The student turned to a life of vice – gambling. To be a good gambler, he needed to know the probability of certain events. Help him out by answering the following questions.

Refer to Exhibit 8-1. The probability of drawing an ace, a king and a queen of any suit in that order is ____. Sampling is without replacement from a deck of 52 ordinary playing cards.

0.00045
0.00046
0.00048
0.00018
Exhibit 8-2

Let’s assume you are having a party and have stocked your refrigerator with beverages. You have 12 bottles of Coors beer, 24 bottles of Rainier beer, 24 bottles of Schlitz light beer, 12 bottles of Hamms beer, 2 bottles of Heineken dark beer and 6 bottles of Pepsi soda. You go to the refrigerator to get beverages for your friends. In answering the following questions assume you are randomly sampling without replacement.

Refer to Exhibit 8-2. What is the probability your first three bottles selected are Pepsi’s?

0.00044
0.00024
0.1875
0.2250
If a town of 7000 people has 4000 females in it, then the probability of randomly selecting 6 females in six draws (with replacement) equals ____.

0.0348
0.0571
0.5714

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