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?

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 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?

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

Claire flips a coin 6 times. What is the probability that the coin will show tails 3 times?

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?

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?

At a manufacturing plant, it is known that 8% of the computer chips produced are defective. A random sample of 20 chips is taken. What is the probability that 3 of those chips are defective?

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 bottled water company runs a promotion in which 1 out of every 5 bottles has the word "Winner” printed under the cap. Winners receive a free bottle of water. A store owner notices that in the last 8 bottles of water purchased, 3 have been winners. What is the probability of getting 3 "Winner” caps on 8 bottles of water?