Chapter 13.10, Problem 3CYP

To determine

To calculate: To find the probability of drawing a ten or two from a standard deck of $52$ playing cards

Answer to Problem 3CYP

The probability of drawing a ten or two from a standard deck of $52$ playing cardsis $\frac{4}{27}$

Explanation of Solution

Given information: A card is drawnfrom a standard deck of $52$ playing cards

Formula Used:

Probability is defined as the likelihood of an event.

Probability is calculated as

  $\mathrm{Probability}=\frac{Event}{Outcomes}$

Calculation:

Event is defined as drawing a cardfrom a standard deck of $52$ playing cards

Total number of possible outcomes $=52$

Number of cards showing $10$$=4$

Number of cards showing $2$$=4$

Thus, probability of drawing a ten or two from a standard deck of $52$ playing cardsis calculated as

  $\begin{array}{l}P=\frac{8}{52}\\ P=\frac{4}{27}\end{array}$

Conclusion:

Hence, the required probability is $\frac{4}{27}$