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.

What is the probability of selecting a black card followed by another black card?




5/22

5/6

3/11

1/6

Answer 1

Answer: 5/22

Explanation:

Answer 2

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 =
`(6)/(12) =(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 =
`(5)/(11)`

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

=
`(1)/(2)*(5)/(11)`

=
`(5)/(22)`