Find the probability of drawing a heart from the standard deck of cards and then drawing a 5 from any suit after the first card

Question

3 years ago

15

is replaced in the deck. Write as a fraction in simplest form.

1 answer:

Vinil7 [7] · Answer 1 · 2023-02-18T01:23:07+03:00

The probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52

<h3>How to determine the probability?</h3>

In a standard deck of cards, we have:

Total = 52

Heart = 13

5's = 4

Since the cards are replaced, the probability is calculated as:

P(Heart and 5) = Heart/Total * 5s/Total

This gives

P(Heart and 5) = 13/52* 4/52

Evaluate

P(Heart and 5) = 1/52

Hence, the probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52