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Chapter 3: Q.10 (page 215)

Use the following information to answer the next six exercises. A jar of 150jelly beans contains 22red jelly beans, 38

yellow, 20green, 28purple, 26blue, 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).

Short Answer

Expert verified

The solution is

P(Y)=38150=1975=0.25

Step by step solution

01

Given information

Weareprovidedthefollowinginformationinthegivenquestion:
22red jelly beans,38yellow jelly beans, 20green jelly beans, 28purple jelly beans, 26blue jelly beans, and the rest are orange jelly beans make up a jar of 150jelly beans.
02

Concept used

Probabilityisametricfordetermininghowcertainweareoftheresultsofacertainexperiment.
Theprobabilityiscalculatedusingthefollowingformula:
Probability

=Farorable number of casesTotal 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)=24=0.5, there are two outcomes that favor the event A H T, T H.
03

Calculation

鈭� 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 38and total cases are 150 . Therefore, the probability of getting a yellow jelly bean is:

localid="1648042037831" P(Y)=38150=1975=0.25

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Most popular questions from this chapter

The following table of data obtained from www.baseball-almanac.com shows hit information for four players. Suppose that one hit from the table is randomly selected.

Are "the hit being made by Hank Aaron" and "the hit being a double" independent events?

a. Yes, because P(hit by Hank Aaron | hit is a double) =P(hit by Hank Aaron)

b. No, because P(hit by Hank Aaron | hit is a double) 鈮�P(hit is a double)

c. No, because P(hit is by Hank Aaron | hit is a double) 鈮�P(hit by Hank Aaron)

d. Yes, because P(hit is by Hank Aaron | hit is a double) =P(hit is a double)

E and F are mutually exclusive events. P(E) = 0.4; P(F) = 0.5. Find P(E鈭).

Write the symbols for the probability that a player is an infielder.

Use the following information to answer the next three exercises. The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on a particular color, number, or range of numbers. The table used to place bets contains of 38numbers, and each number is assigned to a color and a range.

Compute the probability of winning the following types of bets:

a. Betting on two lines that touch each other on the table as in 1-2-3-4-5-6

b. Betting on three numbers in a line, as in 1-2-3

c. Betting on one number

d. Betting on four numbers that touch each other to form a square, as in 10-11-13-14

e. Betting on two numbers that touch each other on the table, as in 10-11or10-13

f. Betting on 0-00-1-2-3

g. Betting on 0-1-2;or0-00-2;or00-2-3

Use the following information to answer the next 12exercises. The graph shown is based on more than 170,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

What is the range of the data?
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