Probability Powerplay
Level 6, 2026-05-30
Roll 108 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:


0.150.10.75
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 5?
[1]
Roll a die 90 times.
How many times would you expect to get a 3?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.80.2
yellowblueorange
Color

How many blue balls were in the bag?
[1]
A group of girls were timed running 100m. Here are the results:
Timegirls
130
141
155
160
173

What is the probability of the girls to run 100m in exactly 15s?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
redgreen
Color

Probability of Type

1
sedanwagon
Type

What is the probability of a car being a red wagon?
[2]
A bag has 10 balls with numbers from 3 to 12. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 8?
[1]
A bag has 3 balls with number 2 and 6 balls with a number 4. You take out 1 ball.
What is the probability of getting the ball with the number 2?
[1]
We asked a group of boys how many Oranges they eat in a month. Here are the results:
boys

4641
0123
Oranges

What fraction of the boys eat exactly 3 Oranges in a month?
[2]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are 1 or 4?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 100% chance of clearing a Fence and a 100% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Flip a coin 6 times.
Each time a Head comes up you win $3. How much money would you expect to make altogether?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score05
11
21
33
46
55

What fraction of the boys score less than 3?
[2]
An obstacle course has 2 Fences and 1 Ditches. You have a 100% chance of clearing a Fence and a 80% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[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:


0.250.050.7
12345
Number

What is the probability of rolling a number that is smaller than or equal to 2?
[1]
Roll 30 6-sided dice.
How many times would you expect to get more than 5?
[1]