Question

in a class of 30 students 3 of the 16 boys are left handed and 2 of the 14 girls are left handed one student is chosen at random which of the following represents a conditional probability

Answer 1

Explanation:

The conditional probability that a randomly chosen student is left-handed, given that the student is a boy, can be represented as:

P(left-handed|boy) = P(left-handed and boy)/P(boy) = 3/16

The conditional probability that a randomly chosen student is left-handed, given that the student is a girl, can be represented as:

P(left-handed|girl) = P(left-handed and girl)/P(girl) = 2/14

Both expressions are examples of conditional probability, as they show the probability of one event (left-handed) given that another event (boy or girl) has occurred.