Chapter 12, Problem 15PT

To determine

To Calculate :P (second red given first is blue).

Answer to Problem 15PT

  $\frac{8}{29}$

Explanation of Solution

Given information :

We know that, there are $10$ blue, $8$ red and $12$ green marbles in a bag from which to marbles are drawn one by one without replacement.

Formula Used:

  $P(A|B)=\frac{P(A\cap B)}{P(B)}$

Calculation:

  $\begin{array}{l}P(2^{nd}red/1^{st}blue)=\frac{P(2^{nd}redand{1}^{st}red)}{P(1^{st}blue)}\\ =\frac{8}{29}\end{array}$