Binomial Probability Distribution

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

• 0.962

• 0.132

• 0.831

• 0.250

When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice five times, hoping to roll doubles. What is the probability the player gets doubles less than three times in 5 attempts?

• 0.161

• 0.965

• 0.015

• 0.997

When rolling a fair die 100 times, what is the probability of rolling a "4" exactly 25 times?

• 1.0%

• 16.7%

• 25%

• 2.1%

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct? (You need to figure out the p value first. It is not given to you.)

• 96.2%

• 13.2%

• 8.31%

• 25.0

Let n = 20, q = .6, Find the probability of 12 successes.

• 3.55%

• 35.55%

• 24%

• 12.90%

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 5 people have their pets bathed professionally.

• 3.42

• 1.03

• 0.072

• 0.199

Which descriptions are true for a binomial distribution? Select all that apply.

• The probability of success must be the same for each event.

• The probability for each event must be 0.5.

• There can be only two possible outcomes - success and failure.

• The probabilities must add to 1.

• Each trial must be independent.

Which of the following could be examples of binomial probabilities? (Select all that apply.)

• P(success) = 0.99, P(failure) = 0.01

• P(A) = 0.4, P(B) = 0.4

• P(A )= 1/3, P(B) = 1/3, P(C) = 1/3

• P(3) = 1/6, P(not 3) = 5/6

Barry Bonds has a career batting average of .298. What is the probability that he will get 6 hits in his next 10 at-bats?

• 3.58%

• 5.46%

• 22.67%

• 100%

If you were to flip a coin 20 times, what is the probability you would get exactly 10 heads?

• 50%

• 17.62%

• 58.81%

• 41.19%