# Answer to Question #17930 in Statistics and Probability for ADANE

Question #17930

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

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

Expert's answer

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

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

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