Chapter 13.10, Problem 2CYU

To determine

The probability of drawing an odd numbered card and then a card numbered less than or equal to $5.$

Answer to Problem 2CYU

The probability of the drawing the even number and card number that is greater than $5$ is $\frac{1}{4}$

Explanation of Solution

Calculation:

Fraction Form:

The probability of drawing an odd numbered card and then a card less than or equal to $5.$ So in the fraction form is given as,

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

P (Card less than or equal to $5.$ ) = $\frac{5}{10}$ or $\frac{1}{2}$

P (Odd card and then less than or equal to $5$ ) = P (Odd) * P(Card less than or equal to $5$ )

  $\begin{array}{l}=\frac{1}{2}\times \frac{1}{2}\\ =\left(\frac{1.1}{2.2}\right)\\ =\frac{1}{4}\end{array}$

Conclusion:

Hence, P (Odd card and then less than or equal to $5$ ) = $\frac{1}{4}$