Statistics conditional probability help??!?

Posted on 2016-04-11 18:43:00 in Statistics by NICK

If a box contains 6 balls, where 4 are white and 2 are red, then what is the probability of the 2nd ball picked out of the box being red? 

The answer is 1/3. But I don't understand how it is 1/3, because if you take out a white ball first, then you have 2/5 chance of getting a red one. If you pick out a red ball first then you have a 1/5 chance of picking out a red one. Why is the answer always 1/3??

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