Probability Powerplay
Level 6, 2026-01-17
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:


0.050.10.20.10.55
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 2?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

15356
012345
Score

What is the probability of the dogs to score more than 4?
[2]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.40.10.5
pinkgreenblue
Color

If you choose a random ball from the bag, what is the probability of it not being green or pink?
[1]
Flip a coin 8 times.
Each time a head comes up you win $4 and with each tail you lose $2. It costs $14 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 132 6-sided dice.
How many times would you expect to get more than 3?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.20.30.5
redorangepurple
Color

If you choose a random ball from the bag, what is the probability of it not being purple?
[1]
You shoot an arrow at a target. There is a 10% chance of scoring a 10 and a 10% chance of scoring a 40 and a 80% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
Roll 78 6-sided dice.
How many times would you expect to get more than 4?
[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:


0.70.050.050.2
12345
Number

What is the probability of rolling a number that is smaller than 4?
[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:


0.60.050.10.25
12345
Number

What is the probability of rolling a number that is smaller than or equal to 2?
[1]
We asked a group of boys how many Strawberries they eat in a week. Here are the results:
Strawberriesboys
06
13
21
35

What is the probability of the boys to eat exactly 1 Strawberries in a week?
[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:


0.60.050.250.1
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.250.75
redgreen
Color

How many green balls were in the bag?
[1]
A group of boys were timed running 100m. Here are the results:
boys

Time133
141
152
163
175

What fraction of the boys run 100m in less than 13s?
[2]
The weather forecast says that the chances of rain are 70%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 50%.
What is the probability of getting wet today?
[1]
A group of girls were timed running 100m. Here are the results:
girls

31351
1314151617
Time

What fraction of the girls run 100m in less than 16s?
[2]