Probability Powerplay
Level 6, 2026-01-16
A group of kids did a math test and here are their scores out of 5:
kids

646433
012345
Score

What fraction of the kids score less than 1?
[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:


0.550.150.050.25
12345
Number

What is the probability of rolling a number from 3 to 5?
[1]
A bag has 7 balls with numbers from 5 to 11. You take out 1 ball.
What is the probability of NOT getting the ball with the number 7?
[1]
A group of people were timed running 100m. Here are the results:
people

Time13
143
153
165
176

What is the probability of the people to run 100m in exactly 14s?
[2]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.10.50.4
purpleredgreen
Color

How many green 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:


0.850.050.1
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 5?
[1]
There are 22 balls in a bag. This is is the probability distribution of their color:


0.50.5
greenorange
Color

How many orange balls were in the bag?
[1]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 90%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
A bag has 7 balls with numbers from 2 to 8. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 5?
[1]
A wheel has 11 sections, each a number on it from 1 to 11. 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 10 balls in a bag. This is is the probability distribution of their color:


0.30.20.5
yelloworangeblue
Color

If you choose a random ball from the bag, what is the probability of it being orange or yellow?
[1]
Roll 36 6-sided dice.
How many times would you expect to get more than 4?
[1]
A wheel has 7 green sections and 5 pink sections.
What is the probability of getting green?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
pinkyellow
Color

Probability of Type

1
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:


0.750.10.10.05
12345
Number

What is the probability of rolling a number from 3 to 4?
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
131
145
153
160
173

What is the probability of the dogs to run 100m in exactly 14s?
[2]