Easy Probability Question 2?

Question

Mary has 3 boxes of cupcakes she has just bought. Showing the boxes to her husband Joe she tells him: "In one of the boxes there are 2 chocolate cupcakes, in another there is 1 chocolate and 1 vanilla and in the third box there are 2 vanilla cupcakes."

She then picks out a box at random, removes from it a chocolate cupcake and says to Joe: "If you can tell me the probability that the other cupcake in this box is also chocolate you can have any cupcake you like."

What should he answer?

Bob B · Answer

Since the box is known to have contained one chocolate cupcake, that box can only be one of two boxes. It is either the one with two chocolates or the box with one chocolate and one vanilla. He has a one in two chance of it being the one with the second chocolate cupcake. That's a probability of 1/2.

? · Answer

Hi there,
Mary has 3 boxes with 2 items in all of them
First box-1 Chocolate cupcakes + 1 Chocolate cupcake [2 Chocolate cupcakes]
Second box-1 Chocolate+1 Vanilla
Third box-1 Vanilla cupcake + 1 Vanilla cupcake [2 Vanilla cupcakes]
She picked 1 box, took out 1 Chocolate cupcake

I think there is only 1 box out of three that contains chocolate cupcakes
second box has a chocolate in it not a cupcake
third box don't contain chocolate cupcakes

I think there is 100% probability that the other cupcake is a chocolate cupcake
Because it would be the only chocolate cupcake left in the 3 boxes and second box contains chocolate instead of chocolate cupcake.
I didn't do maths for that hope that was not a seriously about maths

Hope that was not a trick question or was it?

Peace:)

Anonymous · Answer

I went on a site on this topic but can't remember the name, If I'll remember I will let you know.

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Easy Probability Question 2?

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