Question

You are dealt seven cards from a standard and shuffled deck of playing cards. (Note that a standard deck has 52 cards and four of those are Jacks.) What is the probability that you'll have exactly two Jacks in your hand?

Answer 1

0.0768

Explanation:

4 Jacks and 48 other cards

Exactly 2 jacks, and 5 others

(4C2 × 48C5)/(52C7)

594/7735

0.07679379444

Answer 2

Explanation:

probability of having one jack in hand=4/52

now one jack is gone

to have another jack in the handP=3/51

combined probability for these two events to takep place. =4/52 ×3/51