Question

2. When a person is selected at random from a very large population, the probability that the selected person is righthanded is 0.82. If three people are selected at random,

what is the probability that
a. They are all right-handed?
b. None of them is right-handed?

Answer 1

a) 0.5514

b) 0.0058

Explanation:

Data provided in the question:

Probability that the the selected person is righthanded, P(R) = 0.82

Therefore,

Probability that the the selected person is not righthanded, P(R') = 1 - 0.82

= 0.18

Now,

a. They are all right-handed

P (They are all right-handed) = P(R) × P(R) × P(R)

= 0.82 × 0.82 × 0.82

= 0.5514

b) None of them is right-handed

P (None of them is right-handed) = P(R') × P(R') × P(R')

= 0.18 × 0.18 × 0.18

= 0.0058