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

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

hitaro9 · Answer

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

hitaro9 · Answer

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hitaro9 · Answer

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

hitaro9 · Answer

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hitaro9 · Answer

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

hitaro9 · Answer

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