Probability Powerplay
Level 6, 2026-05-08
You shoot an arrow at a target. You will either score 10 (30% chance), 40 (30% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A bag has 10 balls with numbers from 2 to 11. You take out 1 ball.
What is the probability of NOT getting the ball with the number 4?
[1]
A bag has 8 balls with number 2 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 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:


0.70.10.10.1
12345
Number

What is the probability of rolling a 1?
[1]
A bag has 10 balls with numbers from 1 to 10. You take out 1 ball.
What is the probability of NOT getting the ball with the number 1?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 3?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than or equal to 3?
[1]
A bag has 2 red balls, 5 green balls and 10 blue balls. You take out 1 ball.
What is the probability of getting a green ball or a red ball?
[1]
Roll 2 6-sided dice.
What is the probability of getting a 2 on both dice?
[1]
Flip a coin 12 times.
Each time a Tail comes up you win $2. It costs $13 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 8 balls with numbers from 5 to 12. You take out 1 ball.
What is the probability of NOT getting the ball with the number 12?
[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:


0.60.20.2
12345
Number

What is the probability of rolling a number that is smaller than or equal to 2?
[1]
A wheel has 6 sections, 2 of each color.
What is the probability of getting red?
[1]
Roll 1 6-sided die.
What is the probability of getting an odd number?
[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:


0.80.10.1
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 4?
[1]
You shoot an arrow at a target. You will either score 10 (40% chance), 30 (20% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A bag has 9 balls with number 7 and 4 balls with a number 3. What will be the average of the numbers of the balls taken out of the bag
[1]
An obstacle course has 1 Fences and 2 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]
The weather forecast says that the chances of rain are 50%. Your chance of being outside today is 60%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]
There are 35 balls in a bag. This is is the probability distribution of their color:


0.80.2
purplered
Color

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