Approximately 6% of people are left-handed. If two people are selected at random, what is the probability of the following events?

Question

P(both are right-handed)

P(both are left-handed)

P(one is right-handed, the other is left-handed)

P(at least one is right-handed)

Answer 1

This is a binomial probability question with p=.06 and q=.94, but since the sample space is small just write down the possible outcomes and calculate the answers accordingly,

RR ..0036

RL .0564

LR .0564

LL ..9216