Relative Frequencies Answers

A computer’s random number generator produces random integers from 1 to 50. What is the probability that among the first 9 random integers generated, all of them fall in the range from 1 to 35?

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 at least one of the first 4 generated numbers is in the 20s?

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 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?

In a certain city, 60% of the heads of household own the house in which they reside, and 80% of the heads of the household have full-time employment. When considering what percentage of heads of household both own their home and have a full-time job, a student estimates that 48% of heads of household fit both requirements, stating that (0.60)(0.80) = 0.48. Is this student correct in his approach?

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 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 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 3 people receive injections with this type of needle, what is the probability that the first person has an injection-site reaction, but the next two do not?