Just some questions I'd like confirmation on thanks!

1. A group of nine children visit Santa’s grotto. Three of the children

are two years of age and the remaining six are three. Santa has a

sack that contains twenty wrapped presents. Twelve of these are

suitable for children of all ages. The other eight are only suitable

for children older than two. Santa draws one present at random

from his sack for every child.

(a) What is the probability that all three of the two-year olds get

presents that are suitable for their age group?

[5 marks]

(b) Given that all children got presents that are suitable for their

age group, what is the probability that all of the three-year

olds got presents that are suitable for children older than two?

[6 marks]

(c) What is the probability that all of the children get presents

that are suitable for all ages?

[6 marks]

(d) What is the probability that exactly six of the nine children

received presents that are suitable for all ages?

[6 marks]