Question

In: Statistics and Probability

You bought a book, a winter hat, and a cupcake for Christmas gifts for your friends....

You bought a book, a winter hat, and a cupcake for Christmas gifts for your friends. There are seven friends (Danise, Caitlin, Matt, Stephen, Christy, Kyoungmin, Juna) among whom you will randomly choose three friends and give each of them Christmas gift. a. What is the probability that Danise, Christy, and Juna will receive a book, a cupcake, and a winter hat, respectively? b. What is the probability that Danise, Chirsty, and Juna will receive Christmas gift from you?

Expert Solution

Answer:-

Given that:-

You bought a book, a winter hat, and a cupcake for Christmas gifts for your friends. There are seven friends (Danise, Caitlin, Matt, Stephen, Christy, Kyoungmin, Juna) among whom you will randomly choose three friends and give each of them Christmas gift.

Total no .of ways to select 3 people out of seven to give them a gift

no .of ways in which gift can be given to the selective people

a. What is the probability that Danise, Christy, and Juna will receive a book, a cupcake, and a winter hat, respectively?

Now, no .of ways of giving 3 gifts to 3 people

Since we have to give them the gift in the same order

So, in how many ways can we arrange them = 1.

b. What is the probability that Danise, Chirsty, and Juna will receive Christmas gift from you?

no.of ways 4 giving 3 gift to 3 people

no.of ways in which we can give them the gift

orchestra answered 2 years ago

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