Question 8. Find the probability that in five tosses of a fair die a 3 appears (a) at no time, (b) once, (c) twice, (d) three times, (e) four times and (f) five times.

Question 9. Find the probability that in a family of 4 children there will be (a) at least 1 boy and (b) at least 1 boy and 1 girl. Assume that the probability of a male birth is .

Question 10.Out of 2000 families with 4 children each, how many would you expect to have (a) at least 1 boy, (b) 2 boys, (c) 1 or 2 girls? and (d) no girls. (refer to your answers in Question 6).

Question 11. If 20% of the bolts produced by a machine are defective, determine the probability that, out of 4 bolts chosen at random, (a) 1, (b) 0, and (c) at most 2 bolts will be defective.

Question 12. The probability that an entering student will graduate is 0.4. Determine the probability that out of 5 students, (a) none will graduate, (b) 1 will graduate, (c) at least 1 will graduate, and (d) all will graduate.

Question 13. If 20% of the bolts produced by a machine are defective, determine the probability that, out of 4 bolts chosen at random, (a) 1, (b) 0, and (c) at most 2 bolts will be defective.

Question 14.

The probability that a student entering a university will graduate is 0.4.Determine the probability that out of 5 students, (a) 1, (b) 0 and (c) at least 1 will graduate, and (d) all will graduate.