You have a standard deck of 52 playing cards. You draw 2 cards without replacement. Which action, performed before the draws, does not increase the probability of drawing 2 red cards in a row?

Question

You have a standard deck of 52 playing cards. You draw 2 cards without replacement. Which action, performed before the draws, does not increase the probability of drawing 2 red cards in a row?

A) removing all of the black cards

B) removing all of the spades

C) removing all of the diamonds

D) adding another set of hearts to the deck

Answer 1

The answer is C, removing all of the diamonds. Half of a deck of 52 cards are red (diamonds and hearts). If you remove the diamonds you are reducing the number of red cards remaining in the deck and decreasing the probability of drawing 2 red cards in a row.

Answer 2

A standard deck has 52 cards with 13 cards of each of 4 suits. 2 suits (spades and clubs) are black and 2 suits (hearts and diamonds) are reds.

The answer is C. By removing diamonds, the number of cards is reduced from 52 to 39, but now instead of 1/2 the cards being red, only 1/3 of the 39 cards are red.

Answer 3

C) sounds like there's no more of a chance to get red.