Hi all , here's hoping someone could help me with this problem. :)(adsbygoogle = window.adsbygoogle || []).push({});

The problem is basically as follow:

You have 7 balls in your pocket , 3 are whites and 4 are blacks.If you take out 3 balls out of your pocket , what are the odds that you'll have 2 white balls and 1 black ball in your hand ?

Now I have no mathematic education at all so here's how I proceeded:

3/7 * (1/2 + 1/3) * (1/5 + 2/5 + 3/5)

3/7 * 5/6 * 5/5

3/7 * 5/6 = 5/14

5/14 = 35,7% = 36%

That was my final answer and I got it wrong , the answer happened to be 34%.

How could my method of calculating the odds produce an answer that was so close yet wrong?

Help would be greatly appreciated :D

thanks in advance

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# Question about a probability problem

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