Chapter MPS, Problem 12.7MPS

To determine

Find the probability at least $2$ marbles drawn are red..

Answer to Problem 12.7MPS

  $\frac{5}{12}$

Explanation of Solution

Given information:

A jar contains $3$ white and $6$ red marbles, all of equal size. Three marbles are drawn at randomly without replacement.

Calculation:

The probability is calculated below.

  $\begin{array}{l}\frac{6}{9}\times \frac{5}{8}\\ =\frac{30}{72}\\ =\frac{5}{12}\end{array}$

Hence, the probability is $\frac{5}{12}$ .