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(C).

Short Answer

Expert verified

P(C)=542=0.12

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 bag of confetti, the favorable number of cases is 5 and total cases are 42. Therefore, the probability of getting a bag of confetti is:

P(C)=542=0.12

04

Conclusion

P(C)=0.12.

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Most popular questions from this chapter

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.

a. Find P(B|D).

b. Find P(D|B).

c. Are B and D independent?

d. Are B and D mutually exclusive?

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), and K (king) of that suit. S = spades, H = Hearts, D = Diamonds, C = Clubs. Suppose that you sample four cards without replacement.

Which of the following outcomes are possible? Answer the same question for sampling with replacement.

a. QS, 1D, 1C, QD

b. KH, 7D, 6D, KH

c. QS, 7D, 6D, KS

Use the following information to answer the next two exercises. You are rolling a fair, six-sided number cube. Let E = the event that it lands on an even number. Let M = the event that it lands on a multiple of three.

What does P(E OR M) mean in words?

The graph in Figure 3.11displayed concerning their approval of Mayor Ford’s actions in office. The total number in the sample of all the age groups is 1.045.

a. Define three events in the graph.

b. Describe in words what the entry 40means.

c. Describe in words the complement of the entry in question 2.

d. Describe in words what the entry 30means.

e. Out of the males and females, what percent are males?

f. Out of the females, what percent disapprove of Mayor Ford?

g. Out of all the age groups, what percent approve of Mayor Ford?

h. Find P(Approve| Male).

i. Out of the age groups, what percent are more than 44years old?

j. Find P(Approve| Age < 35).

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(B).

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