Probability Powerplay
Level 6, 2026-06-03
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:


0.60.050.10.150.1
12345
Number

What is the probability of rolling a number that is bigger than 1?
[1]
A bag has 2 balls with number 6 and 9 balls with a number 8. What will be the average of the numbers of the balls taken out of the bag
[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:


0.750.25
12345
Number

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


0.450.10.10.150.2
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 2?
[1]
A bag has 3 red balls, 6 blue balls and 2 yellow 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]
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:


0.450.10.20.10.15
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 5?
[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 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 1 or smaller than 2?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
bluepurple
Color

Probability of Type

1
wagonsedan
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:


0.050.10.20.65
12345
Number

What is the probability of rolling a number from 3 to 5?
[1]
Flip 1 coin.
What is the probability of getting a head?
[1]
Roll 48 6-sided dice.
How many times would you expect to get less than 4?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20 and a 20% chance of scoring a 40 and a 40% chance of scoring a 50. 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:


0.20.250.250.150.15
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 3?
[1]
Flip a coin 6 times.
Each time a Tail comes up you win $3. It costs $12 to play (paid once). How much money would you expect to make altogether?
[1]
We asked a group of dogs how many Pizzas they eat in a month. Here are the results:
Pizzasdogs
06
10
26
30

What fraction of the dogs eat exactly 3 Pizzas in a month?
[2]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.90.1
pinkblue
Color

How many blue balls were in the bag?
[1]
You roll a 5 sided die and a 3 sided die.
What is the probability of getting 2 on both dice?
[1]