Probability Powerplay
Level 6, 2026-05-27
A group of humans did a math test and here are their scores out of 5:
humans

23525
012345
Score

What is the probability of the humans to score exactly 4?
[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:


0.50.10.20.150.05
12345
Number

What is the probability of rolling a 3?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than or equal to 5?
[1]
Roll 12 6-sided dice.
How many times would you expect to get a number more than 1?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 20, a 30% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A wheel has 2 pink sections and 4 red sections.
What is the probability of getting red?
[1]
We asked a group of kids how many Apples they eat in a month. Here are the results:
kids

1424
0123
Apples

What fraction of the kids eat exactly 1 Apples in a month?
[2]
A group of boys did a math test and here are their scores out of 5:
Scoreboys
04
14
22
32
45
54

What fraction of the boys score less than 4?
[2]
A bag has 4 balls with numbers from 2 to 5. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 1?
[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:


0.050.150.8
12345
Number

What is the probability of rolling a 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:


0.80.050.10.05
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
We asked a group of dogs how many Peaches they eat in a week. Here are the results:
dogs

5251
0123
Peaches

What fraction of the dogs eat more than 0 Peaches 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:


0.10.050.85
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 4?
[1]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 80%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20 and a 30% chance of scoring a 30 and a 30% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
You flip a coin and roll a 8 sided die.
What is the probability of getting a 4 and a tail?
[1]