Question

You have a standard deck of 52 playing cards. you draw 2 cards without replacement. which action, performed before the draws, increases the probability of drawing 2 face cards in a row?
a. removing all of the black cards

b. removing all non-face cards

c. removing all kings

d. removing all of the red cards

Answer 1

Answer:

Bet $100 and remove all non-face cards.

Step-by-step explanation:

Each option may be answered on the basis of the ratio of face cards to non-face cards, which we'll say is R.

a. removing all of the black cards  No.  The vale of R does not change.  R is the same for both black and red cards, so removing one color does not change R.

b. removing all non-face cards  Yes.  The only cards left are face cards.  The odds of drawing 2 face cards in a row from this modified deck is 100%

c. removing all kings  No.  Face cards are being removed and will thus lower the probability of picking one.

d. removing all of the red cards  No.  Same reasoning as in (a.).