If you draw five cards from a standard 52 card deck what is

If you draw five cards from a standard 52 card deck, what is the probability that at least two of the cards will be a Jack or better (meaning at least two of the cards are a Jack, Queen, King or Ace)

Solution

Probability of At least 2 or more than 2 cards jack or better= 1- P(zero cards of jack or better) - P(1 card jack or better)

= 1-5c₀(36/52)⁵ - 5c₁ (36/52)⁴ * (16/52)

=1- 0.1590 -0.3534 = 0.4875 (ans)