Imat 2011 q76 Math probability

I multiplied both probabilities so 4/6*3/4 but i got a wrong answer. The answer is c
David has two boxes containing shapes.

In box A there are 4 stars and 2 hearts.

In box B there are 2 stars and 1 heart.

David takes, at random, a shape from box A and puts it into box B.

He then takes a shape from box B.

What is the probability that this shape is a star?

A.
1/12

B.
4/9

C.
2/3

D.
3/4

E.
4/3

Hey !
You did the right thing, but failed to think about the case where he takes a heart out of the first box (A).
In that case, there would still be a chance that he gets a star out of the second box as it already has 2 stars in there.
You have to do the same calculation for the second option and add the results for the two possibilities :slight_smile:

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Heyy, it makes sense now, thanks for that explanation! :slight_smile:

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