Probability question - please help!?

In a class of 20 pupils, 7 are left-handed and 13 are right-handed. Five pupils are selected at random from the class (the order is not important).

Find the probability that the sample of 5 will include 2 or fewer who are left-handed.

Thanks - please show me how you worked it out.

Re: Probability question - please help!?

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**neil12** In a class of 20 pupils, 7 are left-handed and 13 are right-handed. Five pupils are selected at random from the class (the order is not important).

Find the probability that the sample of 5 will include 2 or fewer who are left-handed.

The probability of exactly two left-handed is $\displaystyle \frac{\binom{7}{2}\binom{13}{3}}{\binom{20}{5}}$.

Now you finish.