In a box there are 16 ice-creams: 6 lemon flavor,4 mint flavor and 6 strawberry flavor.When we extra

Bruno Pittman

Bruno Pittman

Answered question

2022-07-01

In a box there are 16 ice-creams: 6 lemon flavor,4 mint flavor and 6 strawberry flavor.When we extract two ice-creams,what's the probability of getting two different flavors,given that at least one is strawberry flavor.
That's my solution :
P ( A ) = "Different flavors" = ( 16 2 ) 16 !
P ( B c ) = "At least one is strawberry flavor" = 1 ( 10 2 ) 16 !
We want P ( A | B c ) using conditional probability, where I go wrong?

Answer & Explanation

razdiralem

razdiralem

Beginner2022-07-02Added 15 answers

Assuming that each ice-cream has the same probability of being drawn, you could compute it as the ratio of the ways of getting
(one strawberry, one other) / (one strawberry, one other + two strawberries)
( 6 1 ) ( 10 1 ) ( 6 1 ) ( 10 1 ) + ( 6 2 )

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