Probability Powerplay
Level 6, 2026-03-22
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:


0.10.10.250.55
12345
Number

What is the probability of rolling a number from 1 to 3?
[1]
A bag has 8 red balls and 10 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 2?
[1]
A group of boys were timed running 100m. Here are the results:
boys

3113
1314151617
Time

What is the probability of the boys to run 100m in less than 17s?
[2]
Roll 72 6-sided dice.
How many times would you expect to get more than or equal to 1?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.50.5
orangepurple
Color

How many orange balls were in the bag?
[1]
Flip 2 coins.
What is the probability of getting 2 tails?
[1]
Flip a coin 6 times.
Each time a head comes up you win $3 and with each tail you lose $2. It costs $5 to play (paid once). 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:


0.550.250.10.1
12345
Number

What is the probability of rolling 4 or 5?
[1]
We asked a group of people how many Strawberries they eat in a week. Here are the results:
Strawberriespeople
00
13
22
35

What fraction of the people eat exactly 2 Strawberries in a week?
[2]
A bag has 4 balls with numbers from 1 to 4. You take out 1 ball.
What is the probability of getting a ball with an even number?
[1]
Roll 24 6-sided dice.
How many times would you expect to get an even number?
[1]
Roll 138 6-sided dice.
How many times would you expect to get an even number?
[1]
The weather forecast says that the chances of rain are 70%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 70%.
What is the probability of getting wet today?
[1]
A bag has 7 balls with number 2 and 4 balls with a number 9. You take out 1 ball.
What is the probability of getting the ball with the number 2?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 10 and a 20% chance of scoring a 30 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:


0.20.8
12345
Number

What is the probability of rolling a number that is smaller than 2?
[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:


0.350.20.250.2
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]