Chapter 13, Problem 25SGR

To determine

Calculate probability of P (no blue)

Answer to Problem 25SGR

Probability of finding no blue marble in a bag is $\frac{13}{15}$ .

Explanation of Solution

Given:

No. of blue marble=2

No. of red marble=5

No. of green marble=8

Calculations:

Here, we have to calculate probability of finding blue or green marbles in a bag..

Total number of marbles = 2+5+8=15

Here, we need to find none of blue marble in a bag. Thus, we can say that there must be higher possibilities of finding red or green marble in a bag.

Therefore we can calculate probability of finding red or green marble in a bag,

Probability of finding red marble is,

  $P(red)=\frac{5}{15}$

Probability of finding green marble is,

  $P(green)=\frac{8}{15}$

Probability of finding red or green marble is,

Probability of finding red marble is,

  $\begin{array}{l}P(redorgreen)=P(red)+P(green)\\ P(redorgreen)=\frac{5}{15}+\frac{8}{15}\\ P(redorgreen)=\frac{13}{15}\\ P(noblue)=\frac{13}{15}\end{array}$

Conclusion:

Therefore, we are able to calculate probability of finding no blue marble in a bag.