# Among the contestants in a competition are 43 women and 21 men. If 5 winners are randomly selected, what is the probability that they are all men? Round to five decimals.

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justaguide | Certified Educator

There are 43 women and 21 men in the group of contestants. If 5 winners are randomly selected the probability that all of them are men is given by `(21*20*19*18*17)/(64*63*62*61*60) = 0.00004`

**The probability that all the 5 randomly chosen winners are men is 0.00004**