Question

Polly and Percy were sharing a bag of jelly beans The bag intane fifty two orange sixty three lime seventy two cherry twenty eight lemon sixty five grape If poly closes rise and pulls out the first jelly bean what is the probability that that jelly bean is lemon?

Answer 1

Polly and Percy were sharing a bag of jelly beans.

The bag contains the following number of jelly beans.

Orange = 52

Lime = 63

Cherry = 72

Lemon = 28

Grape = 65

If poly pulls out the first jelly bean what is the probability that that jelly bean is lemon?​

Recall that the probability of an event is given by

`P=(number\: of\: favorable\: outcomes)/(total\: number\: of\: outcomes)`

For the given case, the favorable outcome is selecting a lemon jelly bean.

Number of lemon jelly beans = 28

Whereas the total number of outcomes is

Total number of jelly beans = 52 + 63 + 72 + 28 + 65 = 280

So, the probability of selecting a lemon jelly bean is

`\begin{gathered} P(lemon)=(number\: of\: lemon\: jelly\: beans)/(total\: number\: of\: jelly\: beans) \\ P(lemon)=(28)/(280) \\ P(lemon)=(1)/(10) \\ P(lemon)=0.10 \end{gathered}`

Therefore, the probability that that jelly bean is a lemon is 1/10