Probability Powerplay
Level 6, 2026-10-23
Roll 144 6-sided dice.
How many times would you expect to get a number less than 0?
[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:


0.10.050.20.10.55
12345
Number

What is the probability of rolling a number from 4 to 5?
[1]
There are 2 balls in a bag. This is is the probability distribution of their color:


0.50.5
yellowblue
Color

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

Time134
145
15
16
172

What is the probability of the humans to run 100m in exactly 16s?
[2]
You shoot an arrow at a target. There is a 40% chance of scoring a 10, a 40% 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]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.80.10.1
bluepurplered
Color

If you choose a random ball from the bag, what is the probability of it not being purple?
[1]
A bag has 3 balls with number 9 and 5 balls with a number 3. What will be the average of the numbers of the balls taken out of the bag
[1]
Roll 12 6-sided dice.
How many times would you expect to get more 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:


0.20.050.10.65
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 2?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
blueyellow
Color

Probability of Type

0.90.1
sedanwagon
Type

What is the probability of a car being a blue 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:


0.650.150.150.05
12345
Number

What is the probability of rolling a 4?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 2?
[1]
A group of boys were timed running 100m. Here are the results:
boys

34434
1314151617
Time

What fraction of the boys run 100m in exactly 16s?
[2]
A bag has 7 balls with numbers from 2 to 8. You take out 1 ball.
What is the probability of NOT getting the ball with the number 3?
[1]
Roll 60 6-sided dice.
How many times would you expect to get less than or equal to 4?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.60.4
yellowredpurple
Color

If you choose a random ball from the bag, what is the probability of it not being red or purple?
[1]
You shoot an arrow at a target. You will either score 20 (30% chance), 40 (40% chance), or 60. What average score do you expect to get if you do this many times?
[1]