Probability Powerplay
Level 6, 2026-05-23
A group of people were timed running 100m. Here are the results:
people

35254
1314151617
Time

What is the probability of the people to run 100m in less than 13s?
[2]
Roll 114 6-sided dice.
How many times would you expect to get anything except 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:


0.050.250.20.10.4
12345
Number

What is the probability of rolling a number that is smaller than or equal to 2?
[1]
A group of people were timed running 100m. Here are the results:
Timepeople
132
145
150
165
170

What fraction of the people run 100m in exactly 17s?
[2]
Roll 18 6-sided dice.
How many times would you expect to get more than or equal to 6?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.20.20.6
orangeredgreen
Color

If you choose a random ball from the bag, what is the probability of it not being orange or green?
[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:


0.550.050.250.15
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 5?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
yellowpurple
Color

Probability of Type

0.20.8
sedanwagon
Type

What is the probability of a car being a purple wagon?
[2]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkbluepurple
Color

How many purple balls were in the bag?
[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:


0.20.250.250.3
12345
Number

What is the probability of rolling 2 or 3?
[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:


0.250.150.6
12345
Number

What is the probability of rolling 3 or 4?
[1]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
05
15
24
36
40
53

What fraction of the girls score exactly 2?
[2]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.60.20.2
orangegreenred
Color

How many red balls were in the bag?
[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:


0.30.250.10.20.15
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score06
11
21
35
43
54

What is the probability of the boys to score more than 5?
[2]