Probability Powerplay
Level 6, 2026-10-18
A group of humans did a math test and here are their scores out of 5:
humans

33551
012345
Score

What fraction of the humans score exactly 4?
[2]
A bag has 3 balls with numbers from 2 to 4. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 4?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.70.3
pinkgreen
Color

Probability of Type

0.60.4
wagonsedan
Type

What is the probability of a car being a pink wagon?
[2]
Roll 48 6-sided dice.
How many times would you expect to get less than or equal to 5?
[1]
A wheel has 16 sections, 2 of each color.
What is the probability of getting blue?
[1]
Roll 18 6-sided dice.
How many times would you expect to get a number more than 0?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 20 and a 20% chance of scoring a 40 and a 50% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
A group of kids were timed running 100m. Here are the results:
kids

5112
1314151617
Time

What is the probability of the kids to run 100m in more than 14s?
[2]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
bluepurpleyellow
Color

How many purple balls were in the bag?
[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:


0.150.10.75
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.80.2
redgreen
Color

How many green balls were in the bag?
[1]
Roll 84 6-sided dice.
How many times would you expect to get less than 5?
[1]
A bag has 10 red balls, 3 blue balls and 9 yellow balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


1
orangebluepurple
Color

How many blue balls were in the bag?
[1]
A group of people did a math test and here are their scores out of 5:
people

Score02
13
25
3
41
5

What fraction of the people score more than 2?
[2]
Flip 3 coins.
What is the probability of getting 3 heads?
[1]