Probability Powerplay
Level 6, 2026-07-14
Roll 72 6-sided dice.
How many times would you expect to get less than or equal to 6?
[1]
We asked a group of boys how many Bowls of Ramen they eat in a month. Here are the results:
boys

3345
0123
Bowls of Ramen

What fraction of the boys eat less than 3 Bowls of Ramen in a month?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkredblue
Color

If you choose a random ball from the bag, what is the probability of it not being pink?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 20 and a 30% chance of scoring a 40 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times?
[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:


0.550.20.25
12345
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 5?
[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:


0.70.150.050.1
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 4?
[1]
A bag has 3 balls with number 2 and 3 balls with a number 2. You take out 1 ball.
What is the probability of getting the ball with the number 2?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 10 and a 20% chance of scoring a 40 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
You shoot an arrow at a target. You will either score 10 (30% chance), 40 (30% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time134
14
154
162
173

What is the probability of the humans to run 100m in exactly 16s?
[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:


0.10.20.050.250.4
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 5?
[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:


0.20.10.7
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 4?
[1]
You flip a coin and roll a 5 sided die.
What is the probability of getting a 6 and a tail?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
135
141
154
160
172

What is the probability of the kids to run 100m in more than 14s?
[2]
A wheel has 12 sections, 2 of each color.
What is the probability of getting blue?
[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:


0.050.250.10.20.4
12345
Number

What is the probability of rolling 4 or 5?
[1]
Roll 132 6-sided dice.
How many times would you expect to get anything except 1?
[1]