Probability Powerplay
Level 6, 2025-12-31
A group of boys were timed running 100m. Here are the results:
Timeboys
130
146
153
161
173

What fraction of the boys run 100m in less than 16s?
[2]
A group of people were timed running 100m. Here are the results:
people

Time135
141
152
163
17

What fraction of the people run 100m in exactly 13s?
[2]
A bag has 7 balls with numbers from 3 to 9. You take out 1 ball.
What is the probability of NOT getting the ball with the number 2?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.50.5
yellowpurple
Color

How many yellow balls were in the bag?
[1]
Roll 66 6-sided dice.
How many times would you expect to get less than or equal to 5?
[1]
The weather forecast says that the chances of rain are 90%. Your chance of being outside today is 50%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
A group of humans were timed running 100m. Here are the results:
Timehumans
133
142
155
160
175

What fraction of the humans run 100m in less than 13s?
[2]
Roll 102 6-sided dice.
How many times would you expect to get more than 3?
[1]
There are 45 balls in a bag. This is is the probability distribution of their color:


0.80.2
yellowgreen
Color

How many green balls were in the bag?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
01
10
20
33
43
52

What fraction of the humans score more than 3?
[2]
You shoot an arrow at a target. There is a 60% chance of scoring a 10, a 10% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A group of people did a math test and here are their scores out of 5:
Scorepeople
00
14
25
31
40
54

What is the probability of the people to score exactly 4?
[2]
A wheel has 7 sections, each a number on it from 1 to 7. If you spin an even number you win that amount of dollars, if you spin an odd 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:


0.90.050.05
12345
Number

What is the probability of rolling a number that is bigger than 1?
[1]
Flip a coin 10 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]