Chapter 12.4, Problem 20PPS

To determine

To find : Probability of pulling out $4$ of one color and $2$ of another.

Answer to Problem 20PPS

  $\text{0}\text{.0056}$

Explanation of Solution

Given information :

There are $25$ marbles in a bag in equal amount of red, blue, green, black and clear marbles.

Formula Used:

We know that, Probability P(E) = $\frac{\text{No}\text{. of favourable outcomes}}{\text{Total possible outcomes}}$

Calculation:

Total possible outcomes = ${}^{25}{C}_6$

No. of favourable outcomes = ${}^5{P}_2\times {}^5{C}_4\times {}^5{C}_2$

  $\therefore$ Required Probability = $\frac{{}^5{P}_2\times {}^5{C}_4\times {}^5{C}_2}{{}^{25}{C}_6}=0.0056$