Chapter EP, Problem 12.4.1EP

To determine

To find: The probability of both laid off flight attendants are male.

Answer to Problem 12.4.1EP

The probability of both laid off flight attendants are male is $0.19928$ .

Explanation of Solution

Given information:

The given male employs is $11$ and female is $13$ .

Calculation:

There are $11$ male attendants, so the number if possible ways to lay off $2$ attendants is ${}_{11}{C}_2$

Determine the number of possibilities.

Total number of attendants is $11+13=24$

Then two attendants were removed the number of ways is ${}_{24}{C}_2$

That is the number of possibilities is ${}_{24}{C}_2$

Calculate the probability.

  $\begin{array}{c}P=\frac{{}_{11}{C}_2}{{}_{24}{C}_2}\\ =\frac{\frac{11!}{2!\left(24-2\right)!}}{\frac{24!}{2!\left(24-2\right)!}}\\ =\frac{55}{276}\\ \approx 0.19928\end{array}$

Therefore, the probability of both lay off flight attendants are male is $0.19928$ .