Chapter 13.5, Problem 14PPS

To determine

To determine probability of selecting second red marble.

Answer to Problem 14PPS

Probability is $\frac{36}{55}.$

Explanation of Solution

Given information:

blue marbles = 2

red marbles = 9

Total number of marbles = 2+9 = 11

Now the probability that red marble is selected is $\frac{9}{11}$

Now the probability that another selected marble will be red is $\frac{9}{11}\times \frac{8}{10}=\frac{36}{55}$

(This is because one red marble is already drawn, there are total 10 marbles left and 8 red marbles left)