Question

iro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card. What is the probability that he pulls out a 3 first and then pulls out a 2 without replacing them?

Answer 1

das ain't geography
but anyways

so

probablity=desired outcomes/total possible
and when they are dependent events, like picking 1 then another from the same pile, then we multiply them

so

pulls out a 3 first
there are three 3's
there are 8 cards
so 3/8 is probality of a 3

then we have 7 cards left
pulls out a 2
there are 2 cards
so 2/7

multiply 3/8 and 2/7 to get 6/56 or 3/28

probablity is about 10.7% or about 11%