Chapter 13.10, Problem 1CYU

To determine

The probability of the drawing the even number and card number that is greater than $8$ .

Answer to Problem 1CYU

The probability of the drawing the even number and card number that is greater than $8$ is $\frac{1}{10}$

Explanation of Solution

Calculation:

Fraction Form:

The total probability of drawing an even numbered card and then a card greater than $8$ in the fraction form is followed as,

P (Even numbered card) = $\frac{5}{10}$ or $\frac{1}{2}$

P (Card greater than $8$ ) = $\frac{2}{10}$ or $\frac{1}{5}$

P (Even card and greater than $8$ ) = P (Even) * P (Card greater than $8$ )

  $\begin{array}{l}=\frac{1}{2}\times \frac{1}{5}\\ =\left(\frac{1.1}{2.5}\right)\\ =\frac{1}{10}\end{array}$

Conclusion:

Hence, P (Even card and greater than $8$ ) = $\frac{1}{10}$