Probability Powerplay
Level 6, 2026-07-24
Roll 1 6-sided die.
What is the probability of getting an even number?
[1]
A bag has 4 red balls, 4 blue balls and 2 yellow balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
A group of people did a math test and here are their scores out of 5:
Scorepeople
06
12
24
31
46
50

What fraction of the people score less than 1?
[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:


0.50.150.050.20.1
12345
Number

What is the probability of rolling a 1?
[1]
Flip a coin 8 times.
Each time a Head comes up you win $2. How much money would you expect to make altogether?
[1]
There are 2 balls in a bag. This is is the probability distribution of their color:


0.50.5
redgreen
Color

How many green balls were in the bag?
[1]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 90%. There is a 10% 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

0.30.7
bluegreen
Color

Probability of Type

0.80.2
sedanwagon
Type

What is the probability of a car being a green sedan?
[2]
A group of people did a math test and here are their scores out of 5:
Scorepeople
04
15
22
31
41
53

What is the probability of the people to score exactly 1?
[2]
A bag has 8 balls with numbers from 5 to 12. You take out 1 ball.
What is the probability of getting a ball with an odd number?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.30.7
pinkredyellow
Color

How many yellow balls were in the bag?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20, a 40% chance of scoring a 40, 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 8 sections, each has a reward in dollars, from $1 through to $8.
What prize do we expect to get if we spin the wheel?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
02
15
26
31
44
55

What is the probability of the dogs to score more than 3?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 6 and a head?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than or equal to 2?
[1]