The Multiplication Rule for Independent Events Answers

A medical device company knows that 12% of patients experience injection-site reactions with the current needle. If 6 people receive injections with this type of needle, what is the probability that at least one of them has an injection-site reaction?

A large company states in its promotional literature that 74% of its employees have college degrees. Assume this claim is true. If 4 employees are selected at random from this company, what is the probability that at least 1 of the selected employees has a college degree?

A large company states in its promotional literature that 74% of its employees have college degrees. Assume this claim is true. If 3 employees are selected at random from this company, what is the probability that at least 1 of the selected employees will not have a college degree?

A medical device company knows that 11% of patients experience injection-site reactions with the current needle. If 4 people receive injections with this type of needle, what is the probability that none of the 4 people get an injection-site reaction?

A student has heard that spinning pennies on a table, rather than flipping them in the air, results in tails side up 65% of the time. If this is true, what is the probability that a student who spins 4 pennies will have at least one land heads side up?

A computer’s random number generator produces random integers from 1 to 50. What is the probability that the first 3 integers generated are single-digit numbers?

A jar contains 11 red marbles, 12 blue marbles, and 6 white marbles. Four marbles from this jar are selected, with each marble being replaced after each selection. What is the probability that at least 1 of the selected marbles is blue?

A large company states in their promotional literature that 80% of their employees have college degrees. If 5 employees are selected at random from this company, what is the probability that all 5 will have college degrees?

In a certain town, 65% of the voters support a school referendum up for a vote. If 5 voters are asked for their opinion, what is the probability that none of the 5 will support the referendum?

In a certain town, 65% of the voters support a school referendum up for a vote. If 5 voters are asked for their opinion, what is the probability that at least 1 of the 5 will not support the referendum?