Probability Powerplay
Level 6, 2026-07-04
Flip a coin 8 times.
Each time a head comes up you win $3 and with each tail you lose $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

151525
012345
Score

What fraction of the boys score exactly 5?
[2]
Flip a coin 10 times.
Each time a Tail comes up you win $3. It costs $13 to play (paid once). How much money would you expect to make altogether?
[1]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
04
13
23
34
43
52

What fraction of the girls score exactly 2?
[2]
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 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:


0.250.250.10.250.15
12345
Number

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

Probability of Color

0.20.8
redpink
Color

Probability of Type

0.30.7
wagonsedan
Type

What is the probability of a car being a red sedan?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
redpink
Color

Probability of Type

1
sedanwagon
Type

What is the probability of a car being a pink wagon?
[2]
A group of people were timed running 100m. Here are the results:
people

Time132
142
154
16
17

What fraction of the people run 100m in more than 15s?
[2]
A group of girls did a math test and here are their scores out of 5:
girls

122514
012345
Score

What fraction of the girls score more than 4?
[2]
A wheel has 2 orange sections and 5 red sections.
What is the probability of getting red?
[1]
A group of people were timed running 100m. Here are the results:
Timepeople
133
140
156
163
175

What is the probability of the people to run 100m in exactly 13s?
[2]