Probability Powerplay

Level 6, 2026-08-02

A group of boys were timed running 100m. Here are the results:

Time	boys
13	4
14	1
15	0
16	1
17	0

What is the probability of the boys to run 100m in exactly 17s?

[2]

A wheel has 4 sections, 2 of each color.
What is the probability of getting purple?

[1]

A group of boys did a math test and here are their scores out of 5:

Score	boys
0	6
1	0
2	1
3	1
4	6
5	6

What fraction of the boys score exactly 4?

[2]

Roll 138 6-sided dice.
How many times would you expect to get a number more than 3?

[1]

There are 20 balls in a bag. This is is the probability distribution of their color:


0.8	0.2
orange	yellow
Color

How many orange balls were in the bag?

[1]

An obstacle course has 1 Fences and 1 Ditches. You have a 80% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?

[1]

A Crazy Die has 5 sides, but each side has a different probability of being rolled. This is is the probability distribution of the sides being rolled:


0.8	0.1			0.1
1	2	3	4	5
Number

What is the probability of rolling a number from 2 to 5?

[1]

A group of dogs did a math test and here are their scores out of 5:

Score	dogs
0	6
1	2
2	0
3	5
4	6
5	0

What is the probability of the dogs to score less than 0?

[2]

The weather forecast says that the chances of rain are 20%. Your chance of being outside today is 50%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?

[1]

You shoot an arrow at a target. There is a 80% chance of scoring a 30 and a 20% chance of scoring a 60. What average score do you expect to get if you do this many times?

[1]

A bag has 8 balls with number 5 and 2 balls with a number 8. You take out 1 ball.
What is the probability of getting the ball with the number 5?

[1]

A Crazy Die has 5 sides, but each side has a different probability of being rolled. This is is the probability distribution of the sides being rolled:


	0.15	0.2		0.65
1	2	3	4	5
Number

What is the probability of rolling 3 or 4?

[1]

A group of boys did a math test and here are their scores out of 5:

Score	boys
0	0
1	2
2	3
3	5
4	5
5	4

What fraction of the boys score exactly 1?

[2]

There are 100 balls in a bag. This is is the probability distribution of their color:


0.3	0.4	0.3
red	purple	orange
Color

If you choose a random ball from the bag, what is the probability of it not being red or purple?

[1]

A group of dogs were timed running 100m. Here are the results:

dogs
4		5	4	2
13	14	15	16	17
Time

What fraction of the dogs run 100m in exactly 13s?

[2]