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Q. 4

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Introductory Statistics
Found in: Page 215
Introductory Statistics

Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208

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Illustration

Short Answer

A box is filled with several party favors. It contains 12

hats, 15 noisemakers, ten finger traps, and five bags of confetti.

Let H = the event of getting a hat.

Let N = the event of getting a noisemaker.

Let F = the event of getting a finger trap.

Let C = the event of getting a bag of confetti.

Find P(F).

P(F)=1042=521=0.24

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1 : Given Information

In the given question, we are given the following information:

A box contains 12 hats, 15 noisemakers, 10 finger traps, and 5 bags of confetti.

Step 2 : Concept Used

Probability is a measure that is associated with how certain we are of outcomes of a particular experiment.

The formula for calculating the probability is:

Probability = Favorable number of cases Total number of cases

For example, if we flip a coin two times, the sample space associated with this random experiment is

{HH,HT,TH,TT} where T= tails and H= heads . Let's suppose A= getting one tail. There are two

outcomes which favors the event A

{HT,TH}, so P(A)=24=0.5.

Step 3 : Calculation

Let H= the event of getting a hat.

Let N= the event of getting a noisemaker.

Let F= the event of getting a finger trap.

Let C= the event of getting a bag of confetti.

Now to find the probability of getting a finger trap, the favorable number of cases is 10 and total cases are 42 .

Therefore, the probability of getting a finger trap is:

P(F)=1042=521=0.24

Step 4 : Conclusion

P(F)=0.24

Most popular questions for Math Textbooks

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 Y, you get the biggest prize. Find P(Y).

In words, explain what it means to pick one person from the study who is “Japanese American OR smokes 21 to 30 cigarettes per day.” Also, find the probability.

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Are L and C mutually exclusive events? Show why or why not

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a. What was Renate’s chance of winning a Green Card? Write your answer as a probability statement.

b. In the summer of 1994, Renate received a letter stating she was one of 110,000 finalists chosen. Once the finalists were chosen, assuming that each finalist had an equal chance to win, what was Renate’s chance of winning a Green Card? Write your answer as a conditional probability statement. Let F = was a finalist.

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d. Are G and F mutually exclusive events? Justify your answer numerically and explain why.

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