Probability Powerplay
Level 6, 2026-02-26
Cars go by on a road, each is a different color and type.

Probability of Color

0.60.4
yellowpurple
Color

Probability of Type

0.60.4
sedanwagon
Type

What is the probability of a car being a yellow wagon?
[2]
The weather forecast says that the chances of rain are 80%. Your chance of being outside today is 40%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
Roll 78 6-sided dice.
How many times would you expect to get anything except 2?
[1]
There are 12 balls in a bag. This is is the probability distribution of their color:


0.250.75
orangegreen
Color

How many green balls were in the bag?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
04
12
26
36
41
54

What is the probability of the dogs to score exactly 0?
[2]
Roll 30 6-sided dice.
How many times would you expect to get less than or equal to 2?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
134
140
154
164
170

What fraction of the boys run 100m in more than 17s?
[2]
The weather forecast says that the chances of rain are 30%. Your chance of being outside today is 50%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]
A group of people were timed running 100m. Here are the results:
people

Time136
142
151
16
173

What fraction of the people run 100m in exactly 14s?
[2]
A group of girls were timed running 100m. Here are the results:
girls

322
1314151617
Time

What is the probability of the girls to run 100m in less than 13s?
[2]
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]
Roll 84 6-sided dice.
How many times would you expect to get less than or equal to 4?
[1]
The weather forecast says that the chances of rain are 80%. Your chance of being outside today is 90%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]
A bag has 4 red balls and 3 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A wheel has 10 sections, each has a reward in dollars, from $1 through to $10.
What prize do we expect to get if we spin the wheel?
[1]