Free Printable Year 7 - Probability and Expected Outcomes

1.

What is the experimental probability of getting a 5?

a)

$\frac{3}{12}=\frac{1}{4}=0.25$

b)

$\frac{2}{12}=\frac{1}{6}=0.167$

c)

$\frac{6}{12}=\frac{1}{2}=0.50$

d)

0

2.

What is the experimental probability of getting an odd number?

a)

$\frac{6}{12}=\frac{1}{2}=0.50$

b)

$\frac{8}{12}=\frac{2}{3}=0.667$

c)

$\frac{4}{12}=\frac{1}{3}=0.333$

d)

0

3.

How many times would you expect to get an odd number if you spin 150 times?

a)

50

b)

150

c)

75

d)

100

4.

How many people participated in the survey?

a)

35

b)

20

c)

50

d)

60

5.

What is the probability that a random participant watches less than 5 hours of TV?

a)

$\frac{30}{50}=\frac{3}{5}=0.60$

b)

$\frac{40}{50}=\frac{4}{5}=0.80$

c)

$\frac{10}{50}=\frac{1}{5}=0.20$

d)

$\frac{20}{50}=\frac{2}{5}=0.40$

6.

What is the probability that a random participant watches 20-30 hours of TV?

a)

$\frac{5}{50}=\frac{1}{10}=0.10$

b)

$1$

c)

$0$

d)

$\frac{45}{50}=\frac{9}{10}=0.90$

7.

What is the probability that a random participant watches between 5 and 20 hours of TV?

a)

$\frac{15}{50}=\frac{3}{10}=0.30$

b)

$1.0$

c)

$\frac{30}{50}=\frac{3}{5}=0.60$

d)

$\frac{20}{50}=\frac{2}{5}=0.40$

8.

Based on this survey, the experimental probability of someone watching 30+ hours of TV is 0. Does this mean that watching 30+ hours is impossible?

a)

Yes, it is impossible for anyone to watch that much TV.

b)

No, just nobody within the surveyed group watched that much.

9.

What is the theoretical probability of rolling a 3?

a)

$\frac{1}{3}$

b)

$\frac{1}{6}$

c)

$\frac{2}{3}$

d)

$\frac{5}{6}$

10.

How many times would you expect to get a 3 in 600 trials?

a)

50

b)

100

c)

300

d)

600

11.

The Theoretical Probability of rolling an even number is $\frac{1}{2}.$ How many times would you expect to get an even number in 600 trials?

a)

50

b)

100

c)

300

d)

600

12.

If you roll a die 600 times, is it possible to roll an even number 400 times?

a)

Yes, it is just unlikely.

b)

No, this is an impossible outcome.

13.

Are you more likely to obtain an experimental probability of 100% from 2 rolls, or from 10 rolls?

a)

2 Rolls

b)

10 Rolls

14.

What was the total number of cars in the car park?

a)

85

b)

100

c)

50

d)

120

15.

What is the probability that a random car was white?

a)

$\frac{25}{100}=\frac{1}{4}=0.25$

b)

$\frac{75}{100}=\frac{3}{4}=0.75$

c)

$\frac{25}{50}=\frac{1}{2}=0.50$

d)

0

16.

What is the probability that a random car was green or black?

a)

$\frac{31}{100}=0.31$

b)

$\frac{69}{100}=0.69$

c)

$\frac{24}{100}=\frac{6}{25}=0.24$

d)

$\frac{7}{100}=0.07$

17.

The theoretical probability of a random car being purple is $\frac{3}{100}$ . How many purple cars would you expect to see in a car park with 2000 cars?

a)

6000

b)

30

c)

60

d)

600

18.

Based on this experiment, approximately how many of each colour marble are in this bag?

a)

Red = 2, Green = 3, Blue = 5

b)

Red = 3, Green = 2, Blue = 5

c)

Red = 3, Green = 3, Blue = 4

d)

Red = 2, Green = 4, Blue = 4

19.

a)

(A = a), (B = b), (C = c) and (D = d)

b)

(A = d), (B = c), (C = b) and (D = a)

c)

(A = d), (B = a), (C = c) and (D = b)

d)

(A = d), (B = c), (C = a) and (D = b)

20.

If the theoretical probability of an event is $\frac{1}{2}$ , then the experimental probability must also be $\frac{1}{2}$ .

a)

True, theoretical probability and experimental probability always match.

b)

False, there is no guarantee that it will occur exactly half the time.

21.

If the experimental probability of an event is $\frac{1}{2}$ , then the theoretical probability must also be $\frac{1}{2}$ .

a)

True, theoretical probability and experimental probability always match.

b)

False, e.g. in two rolls a die might land on 3 one time, but the theoretical probability is not $\frac{1}{2}$ .

22.

If the experimental probability of an event is 0, then the theoretical probability must also be 0.

a)

True, theoretical probability and experimental probability always match.

b)

False, the event may not have happened in the experiment, but it still could with further testing.

23.

If the Theoretical Probability of an event is 0, then the experimental probability must also be 0.

a)

True, if something is theoretically impossible, then it is impossible to occur in an experiment.

b)

False, theoretical probability and experimental probability never match.

24.

If the experimental probability of an event is 1, then the theoretical probability must also be 1.

a)

True, theoretical probability and experimental probability always match.

b)

False, the experiment may have just been lucky.

25.

If the theoretical probability of an event is 1, then the experimental probability must also be 1.

a)

True, if the theoretical probability is certain to happen, it must happen also happen in an experiment.

b)

False, theoretical probabilty and experimental probabilty nbever match.

26.

On a scale of 1 - 5, how would you rate your understanding of Probability?

a)

1 - No idea what I am doing or what is happening.

b)

2 - I understand a few things, but need more revision.

c)

3 - Feel good, but could still use some work.

d)

4 - Confident in tackling the majority of the work.

e)

5 - I am a master of Probability.

Year 7 - Probability and Expected Outcomes

Total questions: 26

Worksheet time: 2hrs 10mins

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