Question

The probability of drawing two red cards without replacement is 25/102 , and the probability of drawing one red card is 1/2 .

What is the probability of drawing a second red card, given that the first card is red?




7/17

25/51

25/204

8/17

Answer 1

The probability of drawing a second red card, since the first card is red is 25/51

Explanation:

The probability of drawing a second red card since the first Card is red is:

P (R2 | R1) = P (R2 and R1) / R1

So:

P (R2 | R1) = (25/102) / 1/2

P (R2 | R1) = 25/51

Therefore the correct option is option 2.

the probability of drawing a second red card, since the first card is red is 25/51