Question

If two cards are drawn without replacement from a 52 card deck, find the probability that the second card drawn is red, given that the first card was a heart.

Answer 1

Answer:

The probability that the second card drawn is red, given that the first card was a heart is 0.1225

Step-by-step explanation:

Total cards in a deck = 52

Total red cards = 26

Heart cards = 13

Probability of getting red card =$\frac{13}{52}$

Total remaining card = 51

Remaining red cards = 25

Probability of getting red card in second draw without replacement = $\frac{25}{51}$

So, the probability that the second card drawn is red, given that the first card was a heart = $\frac{13}{52} \times \frac{25}{51} =0.1225$

Hence the probability that the second card drawn is red, given that the first card was a heart is 0.1225