Probability Powerplay
Level 6, 2026-07-31
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:


0.650.20.10.05
12345
Number

What is the probability of rolling a number that is smaller than or equal to 4?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.60.30.1
orangebluered
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:


0.70.250.05
12345
Number

What is the probability of rolling a number that is bigger than 2?
[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:


0.450.150.050.10.25
12345
Number

What is the probability of rolling a number that is smaller than 2?
[1]
We asked a group of people how many Bowls of Ramen they eat in a day. Here are the results:
people

6111
0123
Bowls of Ramen

What fraction of the people eat less than 1 Bowls of Ramen in a day?
[2]
A group of girls were timed running 100m. Here are the results:
Timegirls
136
141
152
165
171

What is the probability of the girls to run 100m in exactly 13s?
[2]
A bag has 4 red balls, 8 blue balls and 5 yellow balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
orangepink
Color

Probability of Type

0.10.9
wagonsedan
Type

What is the probability of a car being a orange wagon?
[2]
A wheel has 6 sections, each a number on it from 1 to 6. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.20.8
redpink
Color

How many red balls were in the bag?
[1]
A group of girls were timed running 100m. Here are the results:
Timegirls
135
142
151
163
173

What fraction of the girls run 100m in less than 17s?
[2]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.20.8
purplered
Color

How many purple balls were in the bag?
[1]
A bag has 9 red balls, 8 blue balls and 9 yellow balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

4133
012345
Score

What is the probability of the humans to score less than 2?
[2]
A wheel has 12 sections, 2 of each color.
What is the probability of getting pink?
[1]