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Chapter 3: Q.67 (page 220)

Explain what is wrong with the following statements. Use complete sentences.

a. If there is a 60%chance of rain on Saturday and chance of rain on Sunday, then there is a 130%chance of rain over the weekend.

b. The probability that a baseball player hits a home run is greater than the probability that he gets a successful hit.

Short Answer

Expert verified

a. The probability is never be greater than 100%.

b. Yes, The probability that a baseball player hits a home run should be at least the probability that he gets a successful hit.

Step by step solution

01

Content Introduction

The two events given with their probability.

02

Explanation (Part a)

While calculating the joint probability, the probabilities must be added and not multiplied. And it is also noticed that probability can never be more than100%

03

Explanation (Part b)

A home run by definition is a successful hit, so he has to have at least as many successful hits as home run.

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Most popular questions from this chapter

The following table of data obtained from www.baseball-almanac.com shows hit information for four players. Suppose that one hit from the table is randomly selected.

Are "the hit being made by Hank Aaron" and "the hit being a double" independent events?

a. Yes, because P(hit by Hank Aaron | hit is a double) =P(hit by Hank Aaron)

b. No, because P(hit by Hank Aaron | hit is a double) 鈮�P(hit is a double)

c. No, because P(hit is by Hank Aaron | hit is a double) 鈮�P(hit by Hank Aaron)

d. Yes, because P(hit is by Hank Aaron | hit is a double) =P(hit is a double)

Use the following information to answer the next two exercises. You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area.

Let B = the event of landing on blue.

Let R = the event of landing on red.

Let G = the event of landing on green.

Let Y = the event of landing on yellow.

If you land on red, you don鈥檛 get a prize. What is P(R)?

You have a fair, well-shuffled deck of 52 cards. It consists of four suits. The suits are clubs, diamonds, hearts and spades. There are 13 cards in each suit consisting of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king) of that suit. Three cards are picked at random.

a. Suppose you know that the picked cards are Q of spades, K of hearts and Q of spades. Can you decide if the sampling was with or without replacement?

b. Suppose you know that the picked cards are Q of spades, K of hearts, and J of spades. Can you decide if the sampling was with or without replacement?

What is the probability of rolling an even number of dots with a fair, six-sided die numbered one through six?

Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, 55%prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.6%of all Californians are Latino. In this problem, let: 鈥� C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.

In words, what is L AND C?
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