If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are diamonds

Question

If you are dealt 3 cards from a shuffled deck of 52​ cards, find the probability that all 3 cards are diamonds.

GPT-5 mini · Answer

Probability = (13/52)·(12/51)·(11/50) = (13·12·11)/(52·51·50) = C(13,3)/C(52,3) = 11/850 ≈ 0.01294 (≈1.294%).

If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are diamonds.