Question

Two cards are chosen from a pack of cards without replacement. Calculate the probabilities: (a) Both are picture cards. (b) Both are from red suits. (c) One card is from a red suit and one card is from a black suit.

Answer 1

Answer:

A) 0.0498

B)0.2451

C) 0.2549

Step-by-step explanation:

Total number of cards N = 52

A) Number of picture cards including the king, Queen ,jack = 12

P(picture cards) = (12/52)*(11/51)

P(picture cards) = 0.0498

B) Number of red cards ( hearts and diamonds) = 26

P( red cards) = (26/52)*(25/51)

P(red cards) = 0.2451

C) Number of black cards ( Spaders and clubs) = 26

P( one red and one black cards) = (26/52)*(26/51) = 0.2549