Probability Powerplay
Level 6, 2026-09-03
Flip a coin 4 times.
Each time a Head comes up you win $1. It costs $8 to play (paid once). How much money would you expect to make altogether?
[1]
A group of kids were timed running 100m. Here are the results:
kids

Time136
145
153
162
175

What fraction of the kids run 100m in exactly 16s?
[2]
You shoot an arrow at a target. There is a 90% chance of scoring a 30 and a 10% chance of scoring a 60. 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:


0.20.250.050.5
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 5?
[1]
You shoot an arrow at a target. There is a 80% chance of scoring a 20 and a 20% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
Roll 24 6-sided dice.
How many times would you expect to get more than or equal to 3?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than or equal to 4?
[1]
Roll 1 6-sided die.
What is the probability of getting a number smaller than 4?
[1]
Roll 1 6-sided die.
What is the probability of NOT getting a 5?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 80% 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]
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:


0.30.250.150.250.05
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 4?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
bluepurple
Color

Probability of Type

0.80.2
wagonsedan
Type

What is the probability of a car being a blue sedan?
[2]
A bag has 7 balls with number 6 and 5 balls with a number 9. What will be the average of the numbers of the balls taken out of the bag
[1]
A group of people were timed running 100m. Here are the results:
people

Time134
141
154
166
173

What fraction of the people run 100m in exactly 14s?
[2]
A bag has 10 red balls and 10 blue balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A group of boys were timed running 100m. Here are the results:
boys

31266
1314151617
Time

What fraction of the boys run 100m in exactly 15s?
[2]