Answer to Question #17930 in Statistics and Probability for ADANE

Question

Four cards are drawn at random from a pack of 52 cards. Find the probability that this consists of:
a. a king, a queen, a jack and an ace.
b. two kings and two ace all diamonds.
c. two red and two blacks.
d. two clubs and two diamonds

Answer 1

a) Probability that each figure will be drawn is 4/52 because there are 4 cards of each picture
Probability that king, a queen, a jack and an ace is 4/52*4/25*4/52*4/52
c)two red and two blacks: 26/52*26/52
d) the same probability as for two red and two black but twice lower: 13/52*13/52