Question

Sam has 5 white and 6 grey huskies in her kennelIf wildemess expedition chooses a team of 5 sled dogs random from Sam's kennel, what is the probability that the team will contain at least one of each colour? marks)

Answer 1

White dogs = 5

Grey dogs = 6

Total dogs = 11

Number of ways of selecting 5 dogs from 11 dogs is given by:

Number of ways of selecting 5 White dogs from 5 White dogs is given by:

So,

Probability of not having Grey dogs = 1/462

Number of ways of selecting 5 Grey dogs from 6 Grey dogs is given by:

So,

Probability of not having White dogs = 6/462

So,

the probability that the team will contain at least one of each colour is given by:

= 0.9848

So,

Answer is:

0.9848