Question

Find$P\left(R\right)$.

Short answer

The required probability is $P\left(R\right)=0.15$.

Step-by-step solution

Given Information

A jar of $150$ jelly beans contains $22$ red jelly beans, $38$ yellow, $20$ green, $28$ purple, $26$ blue and the rest are orange.

Explanation

Number of orange jelly beans,

$=150-(22+38+20+28+26)$

$=150-134$

$=16$

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.

The favorable number of cases is $22$and the total cases are$150$to calculate the probability of getting a red jelly bean. The probability of getting a red jelly bean is as follows:

$P\left(R\right)=\frac{22}{150}$

$=\frac{11}{75}$

$=0.15$