Jillene wrapped 4 gifts for her 4 cousins. If she gives them out randomly, what is the probability that every cousin gets the right present?

Respuesta :

aryus
The possibility is 1/4 (1 out of 4)

Jillene wrapped 4 gifts for her 4 cousins. If she gives them out randomly, then there are 4! ways in which her cousins can receive the gifts.

Now, we know that 4!=4 x 3 x 2 x 1=24

Thus, if Jillene gives out her 4 wrapped gifts randomly to her 4 cousins, then there are 24 ways in which her cousins can receive Jillene's gifts. But there is only one way in which every cousin gets the right present.

Thus, the probability, P, that every cousin gets the right present is:

[tex] P=\frac{1}{24} [/tex]

Expressed as a percentage the probability, P is approximately, 4.17%