Question

Two cards are selected from a standard deck of 52 playing cards. the first is replaced before the second card is selected. find the probability of selecting a diamonddiamond and then selecting aa queenqueen.

Answer 1

The correct answer is
  Find the probability of selecting a diamond and then selecting a queen.

 standard deck of 52 playing cards

hearts: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A---- > 13 cards

clubs: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A---- > 13 cards

spades: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A---- > 13 cards

diamonds: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A---- > 13 cards

 a)  The probability of selecting a diamond is 13/52

b)  The probability of selecting a queen is 4/52

c)   The probability of selecting a diamond and then selecting a queen is

(13/52)*(4/52)=0.0192------------->1.92%