Probability Powerplay
Level 6, 2026-08-11
Cars go by on a road, each is a different color and type.

Probability of Color

1
pinkyellow
Color

Probability of Type

0.50.5
sedanwagon
Type

What is the probability of a car being a pink wagon?
[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 3?
[1]
Roll 78 6-sided dice.
How many times would you expect to get more than 1?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.20.8
bluepurple
Color

Probability of Type

0.20.8
wagonsedan
Type

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

Time133
14
15
166
173

What fraction of the dogs run 100m in more than 16s?
[2]
You shoot an arrow at a target. There is a 60% chance of scoring a 30, a 30% 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 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:


0.10.250.65
12345
Number

What is the probability of rolling a number that is bigger than or equal to 3?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.40.10.5
greenredpurple
Color

If you choose a random ball from the bag, what is the probability of it being purple or green?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 6 and a tail?
[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:


0.30.250.10.10.25
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 3?
[1]
There are 120 balls in a bag. This is is the probability distribution of their color:


0.10.9
greenblue
Color

How many green balls were in the bag?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.30.20.5
bluepurpleorange
Color

How many blue balls were in the bag?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
01
10
20
30
44
52

What fraction of the humans score more than 0?
[2]
A bag has 8 red balls, 8 blue balls and 8 yellow balls. You take out a yellow ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
A bag has 6 balls with number 8 and 8 balls with a number 1. What will be the average of the numbers of the balls taken out of the bag
[1]
A bag has 11 balls with numbers from 1 to 11. You take out 1 ball.
What is the probability of getting a ball with a number less than 9?
[1]