Question

suppose that 8 cards are drawn from a well shuffled deck of 52 cards what is the probability that all 8 are spades​

Answer 1

1287 / 752538150 ≈ 0.00017%

Explanation:

Of the 52 cards, 13 are spades.

There are ₁₃C₈ ways to choose 8 spades from 13.

There are ₅₂C₈ ways to choose 8 cards from 52.

So the probability is:

₁₃C₈ / ₅₂C₈

= 1287 / 752538150

≈ 0.00017%