Probability Powerplay
Level 6, 2026-09-02
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:


0.20.10.10.10.5
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
Roll 1 6-sided die.
What is the probability of getting a number smaller than 1?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.10.20.7
purpleorangegreen
Color

How many green balls were in the bag?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
yellowpurple
Color

Probability of Type

0.60.4
wagonsedan
Type

What is the probability of a car being a yellow sedan?
[2]
A group of humans were timed running 100m. Here are the results:
humans

31416
1314151617
Time

What is the probability of the humans to run 100m in exactly 15s?
[2]
We asked a group of girls how many Bananas they eat in a week. Here are the results:
Bananasgirls
03
11
24
35

What fraction of the girls eat exactly 0 Bananas in a week?
[2]
Roll 126 6-sided dice.
How many times would you expect to get less 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:


0.20.10.20.20.3
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 4?
[1]
A bag has 2 red balls and 9 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting red 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:


0.10.250.050.6
12345
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 5?
[1]
Flip 3 coins.
What is the probability of getting 3 heads?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.10.20.7
purpleorangered
Color

If you choose a random ball from the bag, what is the probability of it being purple or orange?
[1]
We asked a group of kids how many Sandwiches they eat in a month. Here are the results:
kids

Sandwiches0
16
25
32

What fraction of the kids eat less than 1 Sandwiches in a month?
[2]
A bag has 3 balls with number 9 and 7 balls with a number 6. You take out 1 ball.
What is the probability of getting the ball with the number 9?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.50.30.2
redpinkyellow
Color

If you choose a random ball from the bag, what is the probability of it being red or yellow?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.50.5
orangebluepurple
Color

How many orange balls were in the bag?
[1]