Ryan received a box of jelly beans for his birthday. The jelly beans in the box have five
different flavors. The table below shows how many jelly beans of each flavor are in the box.
JELLY BEANS
Flavor
Number
Grape
16
Licorice
10
Cherry
12
Lemon
14
Lime
8
The jelly beans are all the same shape and size. Ryan does not like licorice or lime. What is the
probability that he will pick a jelly bean from the full box that has a flavor he does like? Show
and explain your work.

Respuesta :

Answer:

24/60 does not like 36/60 does like

36/60 = .6 which is 60% chance

Step-by-step explanation:

The probability that Ryan will pick a jelly bean that has a flavor he likes is 0.7

What is probability?

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

Formula of the probability of an event A is:

[tex]P(A)=\frac{n(A)}{n(S)}[/tex]

where, [tex]n(A)[/tex] is the number of favorable outcomes

is [tex]n(S)[/tex] the total number of events in the sample space.

From given data:

Ryan received a box of jelly beans with

Grape - 16

Licorice - 10

Cherry - 12

Lemon - 14

Lime - 8

So, there are total 16 + 10 + 12 + 14 + 8 = 60 jelly beans.

Ryan does not like licorice or lime.

⇒ 10 + 8 = 18 jelly beans he does not like.

This means, he likes 60 - 18 = 42 jelly beans.

Now, we find the probability of jelly beans that has a flavor he likes.

⇒ P = (number of grape, cherry, lemon jelly beans) / (total number of jelly beans)

⇒ [tex]P=\frac{42}{60}[/tex]

⇒ [tex]\bold{0.7}[/tex]

Therefore, the probability that Ryan will pick a jelly bean from the full box that has a flavor he does like is 0.7

Learn more about probability here:

brainly.com/question/11234923

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