Probability Explanation And Exercises Worksheet Page 32
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37Exercises
Prerequisites
• All material presented in the Probability Chapter
1. (a) What is the probability of rolling a pair of dice and obtaining a total score of
9 or more? (b) What is the probability of rolling a pair of dice and obtaining a
total score of 7?
2. A box contains four black pieces of cloth, two striped pieces, and six dotted
pieces. A piece is selected randomly and then placed back in the box. A second
piece is selected randomly. What is the probability that:
a. both pieces are dotted?
b. the first piece is black and the second piece is dotted?
c. one piece is black and one piece is striped?
3. A card is drawn at random from a deck. (a) What is the probability that it is an
ace or a king? (b) What is the probability that it is either a red card or a black
card?
4. The probability that you will win a game is 0.45. (a) If you play the game 80
times, what is the most likely number of wins? (b) What are the mean and
variance of a binomial distribution with p = 0.45 and N = 80?
5. A fair coin is flipped 9 times. What is the probability of getting exactly 6 heads?
6.When Susan and Jessica play a card game, Susan wins 60% of the time. If they
play 9 games, what is the probability that Jessica will have won more games than
Susan?
7.You flip a coin three times. (a) What is the probability of getting heads on only
one of your flips? (b) What is the probability of getting heads on at least one flip?
8. A test correctly identifies a disease in 95% of people who have it. It correctly
identifies no disease in 94% of people who do not have it. In the population, 3%
of the people have the disease. What is the probability that you have the disease
if you tested positive?
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