Probability Powerplay
Level 6, 2026-07-27
A group of girls did a math test and here are their scores out of 5:
girls

Score03
1
22
35
43
54

What fraction of the girls score more than 1?
[2]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
blueyellowgreen
Color

If you choose a random ball from the bag, what is the probability of it not being blue?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.30.40.3
yellowpurpleorange
Color

If you choose a random ball from the bag, what is the probability of it being purple or yellow?
[1]
A bag has 8 red balls, 7 blue balls and 7 yellow balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
The weather forecast says that the chances of rain are 80%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 90%.
What is the probability of getting wet today?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
133
142
154
163
176

What is the probability of the boys to run 100m in exactly 13s?
[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:


0.050.150.8
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 1?
[1]
Roll 36 6-sided dice.
How many times would you expect to get less than 2?
[1]
The weather forecast says that the chances of rain are 70%. Your chance of being outside today is 60%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
A bag has 4 red balls, 8 blue balls and 4 yellow balls. You take out a yellow ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
There are 24 balls in a bag. This is is the probability distribution of their color:


0.50.5
greenpink
Color

How many green balls were in the bag?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
greenorange
Color

Probability of Type

0.40.6
sedanwagon
Type

What is the probability of a car being a orange sedan?
[2]
A bag has 8 red balls and 4 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]
Roll 30 6-sided dice.
How many times would you expect to get more than 4?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
pinkredblue
Color

If you choose a random ball from the bag, what is the probability of it being red or pink?
[1]
There are 110 balls in a bag. This is is the probability distribution of their color:


0.90.1
bluegreen
Color

How many green balls were in the bag?
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 80% chance of clearing a Fence and a 80% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]