Probability Powerplay
Level 6, 2026-05-23
A group of kids were timed running 100m. Here are the results:
kids

Time133
145
154
162
173

What is the probability of the kids to run 100m in exactly 14s?
[2]
There are 45 balls in a bag. This is is the probability distribution of their color:


0.80.2
pinkpurple
Color

How many pink balls were in the bag?
[1]
You shoot an arrow at a target. You will either score 10 (40% chance), 30 (40% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time134
145
15
16
171

What is the probability of the humans to run 100m in exactly 15s?
[2]
Flip a coin 8 times.
Each time a Head comes up you win $4. It costs $11 to play (paid once). How much money would you expect to make altogether?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.50.5
yellowbluepurple
Color

How many yellow balls were in the bag?
[1]
A group of people were timed running 100m. Here are the results:
people

341
1314151617
Time

What is the probability of the people to run 100m in less than 13s?
[2]
A group of dogs were timed running 100m. Here are the results:
dogs

Time13
145
154
165
175

What fraction of the dogs run 100m in exactly 13s?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number equal to 5 and a tail?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
blueorange
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a orange sedan?
[2]
Roll 120 6-sided dice.
How many times would you expect to get more than or equal to 5?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 6 or a 3 and a tail?
[1]
A bag has 9 red balls and 3 blue balls. You take out 1 blue ball, then another ball.
What is the probability of getting red for the second ball?
[1]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
05
16
21
34
43
55

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