Probability Powerplay
Level 6, 2026-09-18
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:


0.650.250.1
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 3?
[1]
The chances of feeling like icecream are 50%. The chances of being near an icecream store are 90%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
greenpurple
Color

Probability of Type

0.10.9
wagonsedan
Type

What is the probability of a car being a purple wagon?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.10.9
redbluepink
Color

If you choose a random ball from the bag, what is the probability of it not being red or pink?
[1]
A bag has 10 balls with numbers from 1 to 10. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 11?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 10, a 40% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A wheel has 12 sections, each has a reward in dollars, from $1 through to $12.
What prize do we expect to get if we spin the wheel?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
01
13
21
35
42
56

What fraction of the humans score less than 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:


0.20.250.55
12345
Number

What is the probability of rolling a number that is bigger than 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:


0.050.050.150.75
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
A bag has 10 red balls, 8 green balls and 9 blue balls. You take out 1 ball.
What is the probability of getting a blue ball?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

134355
012345
Score

What fraction of the boys score more than 4?
[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:


0.20.8
12345
Number

What is the probability of rolling a number that is smaller than 2?
[1]
You flip a coin and roll a 8 sided die.
What is the probability of getting a 2 and a tail?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
greenpink
Color

Probability of Type

0.40.6
sedanwagon
Type

What is the probability of a car being a green sedan?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.10.9
redyellow
Color

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