Probabilty of left-handedness in a small, random group

Question

In a group of 8 people in a doctor's waiting room, what is the probability that 5 of them will be left-handed? Please include forula so i can work it through myself. thanks.

Answer 1

To answer this you need to include a statement about the implied probability of left-handedness in the general population.

But let's say the probability of left-handedness is p. Using the binomial distribution your probability will be:

C(8,5) * p⁵ * (1-p)³