Probability Powerplay
Level 6, 2026-09-27
There are 16 balls in a bag. This is is the probability distribution of their color:


0.50.5
redorange
Color

How many red balls were in the bag?
[1]
Flip a coin 16 times.
Each time a Head comes up you win $1. How much money would you expect to make altogether?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.10.10.8
greenredpurple
Color

How many green balls were in the bag?
[1]
A bag has 5 red balls, 5 blue balls and 2 yellow balls. You take out a red ball, then a yellow ball, then another ball.
What is the probability of getting red for the last ball?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.10.9
greenpurplered
Color

How many green balls were in the bag?
[1]
A wheel has 6 sections, each a number on it from 1 to 6. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?
[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:


0.10.050.10.050.7
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
A bag has 2 red balls, 8 blue balls and 3 yellow balls. You take out a yellow ball, then a yellow ball, then another ball.
What is the probability of getting yellow for the last ball?
[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:


0.20.20.250.050.3
12345
Number

What is the probability of rolling a 1?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.60.4
bluepurple
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a purple sedan?
[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:


0.450.250.050.150.1
12345
Number

What is the probability of rolling 2 or 4?
[1]
A group of people did a math test and here are their scores out of 5:
Scorepeople
04
15
25
34
46
50

What is the probability of the people to score less than 3?
[2]
A wheel has 7 sections, each with a different reward.
What is the probability of getting a Mike & Ike?
[1]
A group of boys were timed running 100m. Here are the results:
boys

Time134
144
155
16
172

What fraction of the boys run 100m in less than 17s?
[2]
An obstacle course has 2 Fences and 1 Ditches. You have a 100% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
00
13
20
34
46
50

What fraction of the girls score less than 3?
[2]