Probability Powerplay
Level 6, 2026-08-02
A group of boys were timed running 100m. Here are the results:
Timeboys
134
141
150
161
170

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:
Scoreboys
06
10
21
31
46
56

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:


0.80.2
orangeyellow
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:


0.80.10.1
12345
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:
Scoredogs
06
12
20
35
46
50

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:


0.150.20.65
12345
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:
Scoreboys
00
12
23
35
45
54

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:


0.30.40.3
redpurpleorange
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

4542
1314151617
Time

What fraction of the dogs run 100m in exactly 13s?
[2]