Binomial Probability Answers

Two events are independent when the following is true:

In a randomly generated sequence of 24 binary digits (0s and 1s), what is the probability that exactly half of the digits are 0?

Assume the birth of a boy or a girl is equally likely. The probability that a single child is born a girl is . What is the probability that the next child born to the same familiy will also be a girl? a. b. c. d. Please select the best answer from the choices provided

In the following experiment, determine whether or not the probabilities are binomial probabilities. If they are, identify the values for n, p, and q.A die is rolled 30 times. What is the probability of getting x even numbers?

In taking a multiple-choice test, there are four possible answers for each problem, only one of which is correct. Assume that someone guesses randomly on all 25 problems.What is the probability of getting the first problem wrong?

What is the theoretical probability of the event that a family with two children has one boy and one girl? Make a tree diagram to help solve the problem. a. b. c. d. Please select the best answer from the choices provided

According to the 2000 U.S. Census Bureau, 49.65% of Texas residents were male. If one Texan was selected at random in 2000, what is the probability she was female?

Suppose the probability of your hitting the bull’s-eye on a dartboard is 0.06. What is the probability of getting exactly two bull’s-eyes when you throw five darts?

A drawer contains 3 red paperclips, 4 green paperclips, and 5 blue paperclips. One paperclip is taken from the drawer and then replaced. Another paperclip is taken from the drawer. Explain why this is an independent or a dependent event.

Suppose that the probability a seed will germinate is 85%. What is the probability that 7 of these seeds will germinate when 10 are planted?

Which of the following is not a binomial experiment?

In taking a multiple-choice test, there are four possible answers for each problem, only one of which is correct. Assume that someone guesses randomly on all 25 problems.What is the probability of getting the first problem correct?

According to the 2000 U.S. Census Bureau, 49.65% of Texas residents were male. If one Texan was selected at random in 2000, what is the probability he was male?

Suppose that the probability a seed will germinate is 80%. What is the probability that 7 of these seeds will germinate when 10 are planted?

What is the probability that when a fair coin is flipped 25 times, there will be exactly five heads?