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Q. 4

Expert-verified
Found in: Page 215

### Introductory Statistics

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

# A box is filled with several party favors. It contains 12hats, 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).

$P\left(F\right)=\frac{10}{42}=\frac{5}{21}=0.24$

See the step by step solution

## 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 $=\frac{\text{Favorable number of cases}}{\text{Total number of cases}}$

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

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

outcomes which favors the event A

$\left\{HT,TH\right\}\text{, so}P\left(A\right)=\frac{2}{4}=0.5\text{.}$

## 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:

$P\left(F\right)=\frac{10}{42}=\frac{5}{21}=0.24$

## Step 4 : Conclusion

$P\left(F\right)=0.24$