20 people play a game at a school fete. The probability that exactly n people win a...

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20 people play a game at a school fete. The probability that exactly n people win a prize is modelled as


image


where p is the probability of any one person winning.


Calculate the probability of:


a. 5 people winning when p = 1/2


b. Nobody winning when p = 0.7


c. 13 people winning when p = 0.6


Give your answers to 3 significant figures.

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