Question

A family of nine has a tradition of
drawing two names from a hat to see
whom they will each buy presents for. If
there are three sisters in the family, and
the youngest sister is always allowed the
first draw, determine the probability that
the youngest sister will draw both of the
other two sisters’ names. If she draws her
own name, she replaces it and draws
another.

Answer 1

There are nine names in the hat, but if she draws her own, she draws again, so for all intents and purposes, there are eight names.

The odds of her drawing any one of her sisters on first draw is 2:8, or 1:4.

The odds of her drawing the remaining sister's name is 1:7.

The odds of drawing these in succession are (1/4)(1/7) = 1/28, or 1:28.

Answer 2

oh okay, i get it, Thanks

Answer 3

ur welcome :)