# Approximating Probability

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## Approximating Probability Answer Key

1.

Theoretical probability is what does happen, while experimental probability is what should happen.

- True
- False

2.

Which of the following is the most correct statement about probability?

- Theoretical probability is more accurate.
- Theoretical probability involves no actual experimentation.
- Experimental probability is more accurate.
- Experimental probability involves no actual experimentation.

3.

The spinner is spun 9 times. If the spinner landed on yellow 3 of those times, what is the theoretical probability of it landing on yellow the next time?

- [math]1/3[/math]
- [math]1/2[/math]
- [math]1/4[/math]
- It won't land on yellow

4.

A professional hockey player is practicing by himself during his free time. If the hockey player shoots a puck towards a net and misses 4 times while scoring a total of 36 times, what is the experimental probability of him scoring on his next shot?

- [math]1/2[/math]
- [math]4/36[/math]
- [math]9/10[/math]
- [math]1/9[/math]

5.

The spinner is spun 40 times. If the spinner landed on E for 15 of those times, what is the experimental probability of it landing on E the next time?

- [math]3/8[/math]
- [math]1/4[/math]
- [math]1/5[/math]
- It only lands on A

6.

A geologist is trying to determine how many mountains in a certain area have snow on top of them during the summer. If he surveys a number of mountains and discovers that 13 have snow on top of them while 39 do not have snow on top of them, what is the experimental probability that the next mountain he surveys will have snow on top of it?

- [math]1/4[/math]
- [math]13/39[/math]
- [math]13/42[/math]
- [math]39/52[/math]

7.

A group of kids is selling pies from door to door. If the kids have sold 32 pies and so far 4 of them were apple pies, what is the experimental probability that the next pie they sell will be an apple pie?

- [math]1/16[/math]
- [math]1/32[/math]
- [math]1/8[/math]
- They have run out.

8.

If the spinner is spun 72 times, what is the most logical estimate for the number of times the spinner would land on 5 or 1?

- 3 times
- 36 times
- 24 times
- 30 times

9.

A die is rolled 25 times in total and a number that is less than four is rolled 15 times out of the total 25 times. Based on these results, how many times could you expect to roll a number that is more than three if you rolled the die 125 times?

- 25
- 125
- 50
- 75

10.

A fisherman is sorting out his catch for the day. So far he has sorted out 30 tuna and 50 codfish. What is the experimental probability of the next fish he sorts out being a tuna?

- [math]3/5[/math]
- [math]1/30[/math]
- [math]3/8[/math]
- [math]1/50[/math]

11.

A die is rolled 20 times. If a three was rolled for 6 of those times, what is the theoretical probability of rolling a six the next time?

- [math]3/20[/math]
- [math]1/6[/math]
- [math]1/2[/math]
- [math]3/10[/math]

12.

A die is rolled 20 times in total and a five is rolled 7 times out of the total 20 times. Based on these results, how many times could you expect to roll a five if you rolled the dice 140 times?

- 27
- 20
- 7
- 49

13.

The spinner is spun 30 times. If the spinner landed on red 10 of those times, what is the experimental probability of it landing on red the next time?

- [math]1/3[/math]
- [math]1/2[/math]
- [math]1/4[/math]
- It won't land on red

14.

If you roll a six-sided number cube 120 times, will you roll a 3 thirty times?

- Definitely, without question
- Maybe, but probably not
- No, not a chance
- Probably, but maybe not

15.

If the spinner is spun 27 times, what is the most logical estimate for the number of times the spinner would land on red?

- 7 times
- 9 times
- 27 times
- 3 times

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