Is This Binomial

A test has 8 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 8 questions, what is the probability that you get at least 3 questions correct?

• 0.886

• 0.332

• 0.678

• 0.208

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let x = the number of aces you observe.

• Yes

• No, the trials are not independent.

• No, there are more than 2 outcomes.

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.

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%

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%

If you were to flip a coin 20 times, what is the probability you would get at least 13 heads?

• 94.23%

• 13.16%

• 5.77%

• 7.39%

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

A quarterback has a passing percentage of 70%. What is the probability that he does NOT complete 8 of his 20 passes?

• 11.44%

• 12.45%

• 54%

• 12.34%

A coin is tossed ten times.  What is the probability that there are exactly 6 heads?

• 20.51%

• 90%

• 45.68%

• 34.65%