Probability Powerplay
Level 6, 2026-08-30
You roll a 4 sided die and a 3 sided die.
What is the probability of getting 2 on both dice?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
pinkyellow
Color

Probability of Type

1
sedanwagon
Type

What is the probability of a car being a yellow wagon?
[2]
There are 55 balls in a bag. This is is the probability distribution of their color:


0.80.2
blueorange
Color

How many orange balls were in the bag?
[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]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.40.6
purplegreenorange
Color

If you choose a random ball from the bag, what is the probability of it being green?
[1]
A group of people were timed running 100m. Here are the results:
Timepeople
136
146
150
160
172

What fraction of the people run 100m in exactly 15s?
[2]
Flip a coin 2 times.
Each time a head comes up you win $4 and with each tail you lose $4. It costs $3 to play (paid once). How much money would you expect to make altogether?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.50.5
blueredgreen
Color

How many red balls were in the bag?
[1]
A bag has 6 balls with number 4 and 4 balls with a number 6. You take out 1 ball.
What is the probability of getting the ball with the number 6?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
131
141
151
166
171

What is the probability of the kids to run 100m in more than 16s?
[2]
A bag has 9 red balls and 9 blue balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
02
13
21
35
42
56

What is the probability of the humans to score more than 1?
[2]
Roll 48 6-sided dice.
How many times would you expect to get more than or equal to 3?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 20, a 20% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
The weather forecast says that the chances of rain are 20%. Your chance of being outside today is 60%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20, a 30% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]