Probability Powerplay
Level 6, 2026-09-01
A group of people did a math test and here are their scores out of 5:
people

Score05
1
2
33
45
52

What is the probability of the people to score less than 1?
[2]
Flip a coin 8 times.
Each time a head comes up you win $2 and with each tail you lose $1. How much money would you expect to make altogether?
[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:


0.20.150.150.5
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
redorange
Color

Probability of Type

0.10.9
sedanwagon
Type

What is the probability of a car being a red sedan?
[2]
A bag has 3 balls with number 4 and 4 balls with a number 8. You take out 1 ball.
What is the probability of getting the ball with the number 8?
[1]
The weather forecast says that the chances of rain are 20%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 40%.
What is the probability of getting wet today?
[1]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
06
15
26
35
40
55

What is the probability of the girls to score less than 3?
[2]
Roll 48 6-sided dice.
How many times would you expect to get an even number?
[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:


0.250.250.10.050.35
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 1?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.10.9
orangeyellowred
Color

How many red balls were in the bag?
[1]
The chances of feeling like icecream are 80%. The chances of being near an icecream store are 80%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
Flip 2 coins.
What is the probability of getting 2 heads?
[1]
A bag has 5 balls with numbers from 3 to 7. You take out 1 ball.
What is the probability of NOT getting the ball with the number 4?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score02
15
2
32
43
51

What fraction of the kids score less than 0?
[2]
A bag has 7 red balls and 8 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]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.40.10.5
greenblueorange
Color

If you choose a random ball from the bag, what is the probability of it not being green or orange?
[1]