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 =[tex]\frac{13}{52}[/tex]
Total remaining card = 51
Remaining red cards = 25
Probability of getting red card in second draw without replacement = [tex]\frac{25}{51}[/tex]
So, the probability that the second card drawn is red, given that the first card was a heart = [tex]\frac{13}{52} \times \frac{25}{51} =0.1225[/tex]
Hence the probability that the second card drawn is red, given that the first card was a heart is 0.1225
