Question

A high school theater club has 40 students, of whom 6 are left-handed. Two students from the club will be selected at random, one at a time without replacement. What is the probability that the 2 students selected will both be left-handed?

a. 30/1600

b. 30/1560

c. 36/1600

d. 6/40

e. 11156/1600

Answer 1

Answer: C 30/1560

Step-by-step explanation:

Correct. If F represents the event that the first student selected is left-handed and S represents the event that the second student selected is left-handed, then with the conditional rule: P(F∩S)=[P(F)][P(S|F)]=(6/40)(5/39)=30/1,560.