Probability Powerplay
Level 6, 2026-02-26
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:


0.750.25
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 1?
[1]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
05
14
25
32
41
53

What is the probability of the girls to score more than 5?
[2]
A group of boys did a math test and here are their scores out of 5:
boys

55661
012345
Score

What fraction of the boys score exactly 2?
[2]
We asked a group of kids how many Peaches they eat in a day. Here are the results:
kids

4143
0123
Peaches

What fraction of the kids eat exactly 1 Peaches in a day?
[2]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are less than 3?
[1]
We asked a group of humans how many Oranges they eat in a month. Here are the results:
humans

Oranges04
16
21
33

What is the probability of the humans to eat exactly 3 Oranges in a month?
[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 1?
[1]
We asked a group of dogs how many Sandwiches they eat in a week. Here are the results:
dogs

531
0123
Sandwiches

What is the probability of the dogs to eat exactly 3 Sandwiches in a week?
[2]
A bag has 2 red balls, 3 blue balls and 8 yellow balls. You take out a yellow ball, then a red ball, then another ball.
What is the probability of getting yellow for the last ball?
[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:


0.250.050.050.250.4
12345
Number

What is the probability of rolling 4 or 5?
[1]
You shoot an arrow at a target. You will either score 10 (10% chance), 30 (30% chance), or 60. What average score do you expect to get if you do this many times?
[1]
An obstacle course has 1 Fences and 2 Ditches. You have a 80% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A bag has 5 balls with numbers from 1 to 5. You take out 1 ball.
What is the probability of NOT getting the ball with the number 4?
[1]
The weather forecast says that the chances of rain are 60%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 90%.
What is the probability of getting wet today?
[1]
A bag has 10 balls with numbers from 1 to 10. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 7?
[1]