Probability Skills Test Quiz

1. Find the theoretical probability of a coin landing on heads.

1

1/2

1/4

0

There are two sides on a coin- heads and tails. The probability of landing on heads would be 1 out of the total 2 sides or 1/2.

Explanation

There are two sides on a coin- heads and tails. The probability of landing on heads would be 1 out of the total 2 sides or 1/2.

2. Luis can fit 3 people in his car, including himself, but 5 of his friends want to ride with him to the track meet. His friends are Tim, Maria, Lilly, Katey, and Scott. To decide, Luis writes each of his friends' names on a separate people of paper and selects one. What is the theoretical probability that Luis picks a girl?

1/5

2/5

3/5

4/5

Maria, Lilly, and Katey could each be picked. Therefore, there are 3 girls out of the total 5 people. 3/5

Explanation

Maria, Lilly, and Katey could each be picked. Therefore, there are 3 girls out of the total 5 people. 3/5

3. Luis can fit 3 people in his car, including himself, but 5 of his friends want to ride with him to the track meet. His friends are Tim, Maria, Lilly, Katey, and Scott. To decide, Luis writes each of his friends' names on a separate people of paper and selects one. What is the theoretical probability that Luis picks someone whose name ends with the letter Y?

0

2/5

3/5

1

Lilly and Katey each have a name that end in Y. Therefore, there are 2 out of 5 people that could be picked. 2/5

Explanation

Lilly and Katey each have a name that end in Y. Therefore, there are 2 out of 5 people that could be picked. 2/5

4. A coin is tossed 50 times, and it lands on heads 28 times. Find the experimental probabililty of the coin landing on heads.

11/25

28/100

28

14/25

The coin landed on heads 28 times out of 50 total flips. However, 28/50 needs to be reduced. You can simplify the fraction by dividing by 2. This gives you an answer of 14/25.

Explanation

The coin landed on heads 28 times out of 50 total flips. However, 28/50 needs to be reduced. You can simplify the fraction by dividing by 2. This gives you an answer of 14/25.

5. Luis can fit 3 people in his car, including himself, but 5 of his friends want to ride with him to the track meet. His friends are Tim, Maria, Lilly, Katey, and Scott. To decide, Luis writes each of his friends' names on a separate people of paper and selects one. If Luis picks a name 12 times and Scott's name is picked 4 times, what is the experimental probability that Scott's name is picked?

4/12

1/3

0

4

Scott is picked 4 out of the 12 times that a name is drawn. Therefore, the probability is 4/12 which can be simplified by 4 to get 1/3.

Explanation

Scott is picked 4 out of the 12 times that a name is drawn. Therefore, the probability is 4/12 which can be simplified by 4 to get 1/3.

6. A die is tossed 24 times and lands on 1 three times. Find the experimental probability of landing on a 1.

1/8

3/24

1

24

The die landed on 1 three times. There were 24 total tosses. Therefore, the probability would be 3/24 which can be simplified by 3 to give an answer of 1/8.

Explanation

The die landed on 1 three times. There were 24 total tosses. Therefore, the probability would be 3/24 which can be simplified by 3 to give an answer of 1/8.

7. Between 3:00- 4:00 p.m., 11 sedans, 15 trucks, and 6 sports cars drove through an intersection. Based on this information, what is the probability that a vehicle that drives through the intersection is a sports car?

3/16

6/32

15/32

11/32

There were 6 sports cars that drove through the intersection between 3:00-4:00pm. The total number of cars that went through the intersection was 32. Therefore, your fraction would be 6/32 which can be simplified by 2. 6/32 simplifies to 3/16

Explanation

There were 6 sports cars that drove through the intersection between 3:00-4:00pm. The total number of cars that went through the intersection was 32. Therefore, your fraction would be 6/32 which can be simplified by 2. 6/32 simplifies to 3/16

8. A die is tossed 24 times and lands on 1 three times. Find the theoretical probability of landing on a 1.

24

3/24

1

1/6

There is one side of a dice that has a 1 on it. There are six total sides to the dice. Therefore, the probability would be 1/6.

Explanation

There is one side of a dice that has a 1 on it. There are six total sides to the dice. Therefore, the probability would be 1/6.

9. In a survey taken at the beach, 47 people preferred cola, 28 preferred root beer, and 25 preferred ginger ale. If the manager of the Beach Hut is going to buy 50 cases of soda for the next day, about how many cases should be root beer?

28/100

28/50

28

14

The manager surveyed a total of 100 people about soda preferences. 28 of them preferred rootbeer. Therefore, your fraction is 28/100. However, he is only going to buy 50 cases total. Therefore, we would simplify 28/100 by 2 to get 14/50. If you look at the question it is not asking for a probability but an actual number. 14 of the 50 cases he would buy would be root beer.

Explanation

The manager surveyed a total of 100 people about soda preferences. 28 of them preferred rootbeer. Therefore, your fraction is 28/100. However, he is only going to buy 50 cases total. Therefore, we would simplify 28/100 by 2 to get 14/50. If you look at the question it is not asking for a probability but an actual number. 14 of the 50 cases he would buy would be root beer.