Question

A deck of cards contains 6 black cards and 6 red cards. The first card drawn is not replaced before drawing the second card.

Answer 1

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 = $\frac{6}{12} =\frac{1}{2}$

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 = $\frac{5}{11}$

Probability of selecting a black card followed by another black card =

= $\frac{1}{2}*\frac{5}{11}$

=$\frac{5}{22}$