Chapter 8, Problem 23CT

To determine

To find the probability of drawing a face card in the suit of hearts.

Answer to Problem 23CT

Theprobability of drawing a face card in the suit of hearts is $\frac{3}{52}$ .

Explanation of Solution

Given: Four students in a class of $25$ students.

Formula Used:

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur or how likely it is that a proposition is true.

Calculation:

Given:Drawing a face card in the suit of hearts.

From the above definition of probability, we have:

Probability of drawing a face card in the suit of hearts $=$ Probability of drawing a heart from the pack of cards $\times$ Probability of drawing a face card from the suit of hearts.

Probability of drawing a face card in the suit of hearts $=$ $\frac{1}{4}\times \frac{3}{13}$

Probability of drawing a face card in the suit of hearts $=$ $\frac{3}{52}$

Conclusion:

Hence, the probability of drawing a face card in the suit of hearts is $\frac{3}{52}$ .