Probability Powerplay
Level 6, 2026-07-16
Roll 102 6-sided dice.
How many times would you expect to get anything except 5?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
greenyellow
Color

Probability of Type

0.30.7
sedanwagon
Type

What is the probability of a car being a green 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:


0.10.9
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 3?
[1]
We asked a group of dogs how many Icecreams they eat in a day. Here are the results:
Icecreamsdogs
00
16
26
32

What fraction of the dogs eat more than 3 Icecreams in a day?
[2]
A wheel has 5 yellow sections and 8 purple sections.
What is the probability of getting yellow?
[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:


0.850.15
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 4?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 20 and a 40% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]
A group of people were timed running 100m. Here are the results:
people

13256
1314151617
Time

What fraction of the people run 100m in exactly 13s?
[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:


0.650.050.050.25
12345
Number

What is the probability of rolling 4 or 5?
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 50% 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 number 8 and 7 balls with a number 4. You take out 1 ball.
What is the probability of getting the ball with the number 4?
[1]
A bag has 6 balls with number 7 and 3 balls with a number 8. What will be the average of the numbers of the balls taken out of the bag
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.90.1
pinkpurple
Color

How many purple balls were in the bag?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.20.20.6
greenredyellow
Color

How many green balls were in the bag?
[1]
We asked a group of kids how many Bowls of Ramen they eat in a day. Here are the results:
kids

Bowls of Ramen0
14
22
32

What is the probability of the kids to eat less than 0 Bowls of Ramen in a day?
[2]
A bag has 3 red balls and 8 blue balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[1]