More Practice with Binomial Probabilities

A history class is given a multiple-choice quiz. There are 10 questions and each question has 5 possible answer choices, only one of which is correct. Determine the probability that a student will get:

The first 4 questions wrong and the last 6 correct. Include your calculations leading up to your final answer.

A history class is given a multiple-choice quiz. There are 10 questions and each question has 5 possible answer choices, only one of which is correct. Determine the probability that a student will get:

Exactly 7 of the questions correct. Include your calculations leading up to your final answer.

A history class is given a multiple-choice quiz. There are 10 questions and each question has 5 possible answer choices, only one of which is correct. Determine the probability that a student will get:

At least 3 of the questions correct. Include your calculations leading up to your final answer.

Approximately 3% of the eggs in a store are cracked. If you buy a dozen eggs, determine the probability that:

None of the eggs are cracked. Include your calculations leading up to your final answer.

Approximately 3% of the eggs in a store are cracked. If you buy a dozen eggs, determine the probability that:

At least 1 of the eggs is cracked. Include your calculations leading up to your final answer.

Approximately 3% of the eggs in a store are cracked. If you buy a dozen eggs, determine the probability that:

Exactly 4 of the eggs are cracked. Include your calculations leading up to your final answer.

Approximately 3% of the eggs in a store are cracked. If you buy a dozen eggs, determine the probability that:

At most 3 of the eggs are cracked. Include your calculations leading up to your final answer.

A pair of dice is rolled 20 times. Determine the probability that a sum of 5 is rolled exactly 6 times.

Include your calculations leading up to your final answer.

A pair of dice is rolled 20 times. Determine the probability that a sum of 5 is rolled at most 4 times.

Include your calculations leading up to your final answer.

A bag contains 4 red marbles and 6 blue marbles. A marble is drawn and then replaced. This is done 7 times. Determine the probability that:

A red marble is drawn the first four times and then a blue marble is drawn the last three times. Include your calculations leading up to your final answer.

A bag contains 4 red marbles and 6 blue marbles. A marble is drawn and then replaced. This is done 7 times. Determine the probability that:

A blue marble is drawn exactly 4 times. Include your calculations leading up to your final answer.

A bag contains 4 red marbles and 6 blue marbles. A marble is drawn and then replaced. This is done 7 times. Determine the probability that:

A red marble is drawn at least 5 times. Include your calculations leading up to your final answer.

The probability that Sean will hit a ball every time he is at bat is 65%. In his next 8 times at bat, what is the probability that Sean will:

Not his the ball at all?

The probability that Sean will hit a ball every time he is at bat is 65%. In his next 8 times at bat, what is the probability that Sean will:

Hit the ball the first 5 times at bat and then not hit the ball the last 3 times?

The probability that Sean will hit a ball every time he is at bat is 65%. In his next 8 times at bat, what is the probability that Sean will:

Hit the ball exactly 6 times?

The probability that Sean will hit a ball every time he is at bat is 65%. In his next 8 times at bat, what is the probability that Sean will:

Hit the ball at least once?

The probability that Sean will hit a ball every time he is at bat is 65%. In his next 8 times at bat, what is the probability that Sean will:

Hit the ball at most once?

The probability that Sean will hit a ball every time he is at bat is 65%. In his next 8 times at bat, what is the probability that Sean will:

Hit the ball at least 5 times?

5% of the toys manufactured by a certain company are defective. In a random sample of 15 toys, what is the probability that:

None of them are defective?

5% of the toys manufactured by a certain company are defective. In a random sample of 15 toys, what is the probability that:

At least one of them is defective?

5% of the toys manufactured by a certain company are defective. In a random sample of 15 toys, what is the probability that:

At most 3 toys are defective?

5% of the toys manufactured by a certain company are defective. In a random sample of 15 toys, what is the probability that:

Exactly 7 toys are defective?

5% of the toys manufactured by a certain company are defective. In a random sample of 15 toys, what is the probability that:

Exactly 14 toys are NOT defective?

5% of the toys manufactured by a certain company are defective. In a random sample of 15 toys, what is the probability that:

Only the first one is defective?