Question

From a standard deck of 52 cards, 3 cards are dealt. What is the probability that 2 are of one suit and 1 is of another?

[a] 0.01775 [b] 0.01183 [c] 0.55059 [d] 0.137647


Please explain to me the steps I'd take to solve this

Answer 1

Okay I'mma draw a picture to try and show this

Answer 2

That shows the probability of getting each suit for the first card

Answer 3

So from there you have 4 different possibilities from the previous card. There's a 12/51 chance that it's gunna be the same, and a 39/51 that the second card will be different