Probability Powerplay
Level 6, 2026-06-27
A group of boys did a math test and here are their scores out of 5:
boys

Score0
16
21
36
45
52

What fraction of the boys score exactly 2?
[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:


0.150.150.150.55
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 1?
[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:


0.10.250.10.55
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 4?
[1]
A wheel has 10 sections, each has a reward in dollars, from $1 through to $10.
What prize do we expect to get if we spin the wheel?
[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:


0.150.050.050.75
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 4?
[1]
We asked a group of humans how many Strawberries they eat in a day. Here are the results:
humans

Strawberries01
11
25
31

What is the probability of the humans to eat more than 3 Strawberries in a day?
[2]
Flip a coin 12 times.
Each time a head comes up you win $1 and with each tail you lose $4. It costs $22 to play (paid once). How much money would you expect to make altogether?
[1]
A wheel has 8 yellow sections and 3 orange sections.
What is the probability of getting orange?
[1]
Flip a coin 12 times.
Each time a head comes up you win $1 and with each tail you lose $4. It costs $16 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 6 balls with numbers from 2 to 7. You take out 1 ball.
What is the probability of NOT getting the ball with the number 1?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
orangepink
Color

Probability of Type

0.80.2
wagonsedan
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

5612
1314151617
Time

What fraction of the people run 100m in exactly 16s?
[2]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.60.4
greenpurplepink
Color

If you choose a random ball from the bag, what is the probability of it being purple or pink?
[1]
Roll 54 6-sided dice.
How many times would you expect to get more than or equal to 4?
[1]
You roll a 5 sided die and a 6 sided die.
What is the probability of getting 2 on both dice?
[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:


0.050.250.20.5
12345
Number

What is the probability of rolling a 3?
[1]