Probability Powerplay
Level 6, 2026-11-08
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:


0.150.10.20.55
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 5?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.40.10.5
redgreenpurple
Color

How many red balls were in the bag?
[1]
Roll 1 6-sided die.
What is the probability of getting a number smaller than 6?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.30.7
blueredyellow
Color

How many yellow balls were in the bag?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
yellowpink
Color

Probability of Type

0.20.8
sedanwagon
Type

What is the probability of a car being a yellow wagon?
[2]
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:


0.150.050.20.6
12345
Number

What is the probability of rolling a number that is bigger than 4?
[1]
Flip 2 coins.
What is the probability of getting 2 tails?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score02
11
2
34
45
54

What is the probability of the boys to score exactly 2?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

1
orangegreen
Color

Probability of Type

0.50.5
wagonsedan
Type

What is the probability of a car being a orange wagon?
[2]
An obstacle course has 2 Fences and 1 Ditches. You have a 50% chance of clearing a Fence and a 100% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Roll 90 6-sided dice.
How many times would you expect to get anything except 6?
[1]
A group of girls were timed running 100m. Here are the results:
Timegirls
132
143
153
161
170

What is the probability of the girls to run 100m in less than 15s?
[2]
A group of humans did a math test and here are their scores out of 5:
humans

Score03
13
25
32
4
52

What fraction of the humans score exactly 5?
[2]
A group of boys were timed running 100m. Here are the results:
boys

2532
1314151617
Time

What is the probability of the boys to run 100m in exactly 15s?
[2]