Question

You select a card from a deck of 52 cards, record your answer, and put it back in the deck. Find the probability of selecting a Jack and then a Queen.

Answer 1

1/169

Explanation:

Each deck of cards will have 4 of each item due to cards having 4 suits e.g. Diamond, spade, clover, hearts.

Due to the fact that u place the card back after drawing, the total number of cards in the deck remained unchanged and the

Probability of getting jack is 4/52,

Probability of getting queen is 4/52 (unchanged)

NOTE:

{if the card was not placed back, due to the sequence of drawing jack first then queen, the probability of drawing queen will then be 4/51 instead)

Hence probability of getting jack then queen is

4/52 x 4/52 = 1/169