Binomial Probabilities Answers

A volleyball player’s serving percentage is 75%. Six of her serves are randomly selected. Using the table, what is the probability that at most 4 of them were successes?

Claire flips a coin 4 times. Using the table, what is the probability that the coin will show tails at least once?

A couple is thinking about having 3 children. Assume that each child is equally likely to be a girl or a boy. What is the probability that exactly 2 of the children are girls?

A placekicker for a football team makes field goals 85% of the time when kicking from the 20-yard line. Assuming that field goal attempts can be considered random events, what is the probability that the placekicker will make 4 of his next 5 attempts from the 20-yard line?

A statistics teacher decides to give his students a 5-question multiple-choice quiz with 4 possible answers for each question. If a student decides to randomly guess on each question, what is the probability the student will get 2 questions correct?

The owner of an apple orchard has learned from previous experience that, on average, 5% of the harvested apples have blemishes. The owner randomly selects 10 apples from this year’s harvest. What is the probability that 2 of the apples have blemishes?

A shipping company claims that 90% of its packages are delivered on time. Jenny noticed that out of the last 10 packages shipped, 2 were late. What is the probability that 2 out of 10 randomly selected shipments would be late?

A quarterback’s pass-completion percentage is 70%. Eight of his passes are randomly selected. What is the probability that 6 of them were successful passes?

The probability that a mature hen will lay an egg on a given day is 0.80. Hannah has 6 hens. Using the table, what is the probability that at least 2 of the hens will lay eggs on a given day?

A kicker for a football team makes field goals 85% of the time when kicking from the 20-yard line. Assume that field-goal attempts can be considered random events. Using the table, what is the probability that the placekicker will make at least 4 of his next 5 attempts from the 20-yard line?