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.
Question 2
2.
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.
Question 3
3.
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.
Question 4
4.
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.
Question 5
5.
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.
Question 6
6.
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.
Question 7
7.
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.
Question 8
8.
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.
Question 9
9.
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.
Question 10
10.
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.
Question 11
11.
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.
Question 12
12.
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.
Question 13
13.
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?
Question 14
14.
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?
Question 15
15.
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?
Question 16
16.
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?
Question 17
17.
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?
Question 18
18.
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?
Question 19
19.
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?
Question 20
20.
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?
Question 21
21.
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?
Question 22
22.
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?
Question 23
23.
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?
Question 24
24.
5% of the toys manufactured by a certain company are defective. In a random sample of 15 toys, what is the probability that: