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Chapter 3: Q. 27 (page 217)
Write the symbols for the probability that a player is a great hitter, given that the player is an infielder.
Given that a player is an infielder, the symbol for the chance that he is a terrific hitter is:
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An experiment consists of first rolling a die and then tossing a coin.
a. List the sample space.
b. Let A be the event that either a three or a four is rolled first, followed by landing a head on the coin toss. Find .
c. Let B be the event that the first and second tosses land on heads. Are the events A and B mutually exclusive? Explain your answer in one to three complete sentences, including numerical justification.
Use the following information to answer the next three exercises. The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on a particular color, number, or range of numbers. The table used to place bets contains of numbers, and each number is assigned to a color and a range.
Compute the probability of winning the following types of bets:
a. Betting on a color
b. Betting on one of the dozen groups
c. Betting on the range of numbers from
d. Betting on the range of numbers
e. Betting on one of the columns
f. Betting on an even or odd number (excluding zero)
A jar of 150 jelly beans contains 22 red jelly beans, 38
yellow, 20 green, 28 purple, 26 blue, and the rest are orange.
Let B = the event of getting a blue jelly bean
Let G = the event of getting a green jelly bean.
Let O = the event of getting an orange jelly bean.
Let P = the event of getting a purple jelly bean.
Let R = the event of getting a red jelly bean.
Let Y = the event of getting a yellow jelly bean.
Find P(P).
In a basket ball arena
鈥� 70% of the fans are rooting for the home team.
鈥� 25% of the fans are wearing blue.
鈥� 20% of the fans are wearing blue and are rooting for the away team.
鈥� Of the fans rooting for the away team, 67% are wearing blue.
Let A be the event that a fan is rooting for the away team.
Let B be the event that a fan is wearing blue.
Are the events of rooting for the away team and wearing blue independent? Are they mutually exclusive?
Roll a fair, six-sided die. Let A = a prime number of dots is rolled. Let B = an odd number of dots is rolled. Then A = {2, 3, 5} and B = {1, 3, 5}. Therefore, A AND B = {3, 5}. A OR B = {1, 2, 3, 5}. The sample space for rolling a fair die is S = {1, 2, 3, 4, 5, 6}. Draw a Venn diagram representing this situation.
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