Binomial Conditions

When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice four times, hoping to roll doubles. Find the probability that the player gets doubles twice in 4 attempts.

• 88.4%

• 11.6%

• 98.4%

• 1.6%

Which of the following is NOT an assumption of the Binomial distribution?

• All trials must be independent.

• Each trial must be classified as a success or a failure.

• All trials are dependent on each other.

• The number of successes in the trials is counted.

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

• 20.51%

• 90%

• 45.68%

• 34.65%

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

• 3.55%

• 35.55%

• 24%

• 12.90%

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.

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

An algebra 2 test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get at least 1 question correct?

• 0.2373

• 0.3955

• 0.7627

• 0.6045