Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are red.
Answer & explanation
Correct answer: option 1
There are 26 red cards in a pack of 52 cards.
Let P(A) be the probability of getting a red card in the first draw.
So, P(A) =26/52 = 1/2
Let P(B) be the probability of getting a red card on the second draw. Since the card is not replaced,
P(B) = 25/51
Thus the probability of getting both the red cards = P(A). P(B) = (1/2)/(25/51) = 25/102