Answer : 5/22
A deck of cards contains 6 black cards and 6 red cards. The first card drawn is not replaced before drawing the second card.
Total number of outcome of cards = 12
Probability( any event)= favorable outcomes divide by total number of outcomes
Probability of selecting black card = [tex]\frac{6}{12} =\frac{1}{2}[/tex]
The drawn card is not replaced . so 11 cards left . In that 11 cards, 5 black cards because one black card is already chosen
Probability of selecting another black card = [tex]\frac{5}{11}[/tex]
Probability of selecting a black card followed by another black card =
= [tex]\frac{1}{2}*\frac{5}{11}[/tex]
=[tex]\frac{5}{22}[/tex]
