Name___________________________________
Date___________________
Probability & Statistics Mutually Exclusive Events Practice
1. Tell whether or not the following events are mutually exclusive:
________a. Drawing a card from a deck and getting a 4 or a heart.
________b. Rolling a die and getting a 5 or a number less than 6.
________c. Rolling two dice and getting a sum less than 4 or more than 6.
2. In a statistics class there are 7 juniors and 14 seniors; 5 juniors are females, and 7 seniors are females. If a
student is selected at random, find the probability of selecting the following:
HINT: Make a table
a. A junior or a female
b. A senior or a female
c. A senior or a male
d. A junior or a male
3. The following table shows the results for the PA primary.
Democrats
Republicans
Male
968,799
136,710
Female
1,337,865
83,790
a. What is the probability that the person is a republican?
b. What is the probability that a person chosen at random was a woman or a democrat?
c. What is the probability that a person chosen at random was a republican or a male?
4. Cheap Rentals has nothing but budget cars for rent. The probability a car has air conditioning is.5, and the
probability that a car has a CD player is .37. Only 6% of the cars have both AC and a CD player. What is the
probability that a randomly selected car has either AC or a CD player?
5. What is the probability that you draw a Spade or an Ace from a deck of cards?
6. What is the probability of drawing a face card or a heart from a deck of cards?