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How many multiples of 3 are there, and how many multiples of 2?

the probability of selecting multiples of 3 and multiples of 2

I'm confused.

4 multiples of 2 and 3 multiples of 3.

Count again.

5 multiples of 2 and 3 multiples of 3

Correct.
So when you pick the first card, what is the probability it will be a multiple of 3?

30%

Ok, and you put the first card back and pick again. What are the odds of picking a multiple of 2?

50%

Correct.
So the odds of doing one and the other is:
P(A and B) = P(A) * P(B) = .3 * .5 =

So 15%

I believe that should be correct yes.