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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).

Short Answer

Expert verified

P(F)=1042=521=0.24

Step by step solution

01

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.

02

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 casesTotal 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}, soP(A)=24=0.5.

03

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

04

Conclusion

P(F)=0.24

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Most popular questions from this chapter

Use the following information to answer the next six exercises. There are 23 countries in North America, 12 countries in South America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Ocean

region).

Let A = the event that a country is in Asia.

Let E = the event that a country is in Europe.

Let F = the event that a country is in Africa.

Let N = the event that a country is in North America.

Let O = the event that a country is in Oceania.

Let S = the event that a country is in South America.

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Use the following information to answer the next six exercises. There are 23countries in North America, 12countries in

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Let A = the event that a country is in Asia.

Let E = the event that a country is in Europe.

Let F = the event that a country is in Africa.

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Let O = the event that a country is in Oceania.

Let S = the event that a country is in South America.

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A student goes to the library. Let events B = the student checks out a book and D = the student checks out a DVD. Suppose that P(B) = 0.40, P(D) = 0.30 and P(B AND D) = 0.20.

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After Rob Ford, the mayor of Toronto, announced his plans to cut budget costs in late 2011, the Forum Research polled 1,046people to measure the mayor’s popularity. Everyone polled expressed either approval or disapproval. These are the results their poll produced:

• In early 2011,60percent of the population approved of Mayor Ford’s actions in office.

• In mid-2011,57percent of the population approved of his actions.

• In late 2011, the percentage of popular approval was measured at 42percent.

a. What is the sample size for this study?

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c. How many people polled responded that they approved of Mayor Ford in late 2011?

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What is the sum of the probabilities of an event and its complement?

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