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There are 31 songs on a playlist, 15 of which are the Beatles. What is the...

There are 31 songs on a playlist, 15 of which are the Beatles. What is the probability of 2 of the first 4 songs being the Beatles?
Math   Statistics-And-Probability   
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Answer #1

The total number of possible outcome is .

Now, consider a particular case i.e. the first two songs are the Beatles. This can be done in ways.

Now, the 2 songs can be in any two positions of the first 4 place. So, the total number of possible way is.

So, the probability of 2 of the first 4 songs being the Beatles is = = = 0.4004449

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