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Q.10

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Introductory Statistics

Found in: Page 215

Book edition OER 2018

Author(s) Barbara Illowsky, Susan Dean

Pages 902 pages

ISBN 9781938168208

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Short Answer

Use the following information to answer the next six exercises. 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(Y).

The solution is

P (Y) = \frac{38}{150} = \frac{19}{75} = 0.25

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given information

We are provided the following information in the given question:

22

red jelly beans,

38

yellow jelly beans,

20

green jelly beans,

28

purple jelly beans,

26

blue jelly beans, and the rest are orange jelly beans make up a jar of

150

jelly beans.

Step 2: Concept used

Probability is a metric for determining how certain we are of the results of a certain experiment.

The probability is calculated using the following formula:

Probability

$= \frac{Farorable number of cases}{Total number of cases}$

If we flip a coin twice, the sample space associated with this random experiment is H, H T, T H, T T, where T= tails and H= heads.

Let's say A= only has one tail.

Because localid="1648041984677"

P (A) = \frac{2}{4} = 0.5

, there are two outcomes that favor the event A H T, T H.

Step 3: Calculation

$∴$ Number of orange jelly beans

localid="1651638322634"

= 150 - (22 + 38 + 20 + 28 + 26) = 150 - 134 = 16

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.

Now to find the probability of getting a yellow jelly bean, the favorable number of cases is $38$ and total cases are 150 . Therefore, the probability of getting a yellow jelly bean is:

localid="1648042037831" $P (Y) = \frac{38}{150} = \frac{19}{75} = 0.25$

Most popular questions for Math Textbooks

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b. P(U|V)

c. P(U OR V)

A school has 200 seniors of whom 140 will be going to college next year. Forty will be going directly to work.The remainder are taking a gap year. Fifty of the seniors going to college play sports. Thirty of the seniors going directly to work play sports. Five of the seniors taking a gap year play sports. What is the probability that a senior is taking a gap year?

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