Probability Powerplay
Level 6, 2026-08-01
There are 70 balls in a bag. This is is the probability distribution of their color:


0.10.40.5
bluepinkgreen
Color

How many blue balls were in the bag?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
136
144
150
163
175

What fraction of the boys run 100m in more than 13s?
[2]
Roll 48 6-sided dice.
How many times would you expect to get an even number?
[1]
You flip a coin and roll a 5 sided die.
What is the probability of getting a 2 and a head?
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
136
146
151
160
171

What is the probability of the dogs to run 100m in more than 15s?
[2]
A bag has 5 balls with numbers from 5 to 9. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 9?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.70.20.1
pinkgreenyellow
Color

If you choose a random ball from the bag, what is the probability of it being yellow or pink?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 20, a 10% chance of scoring a 60, 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 dogs were timed running 100m. Here are the results:
dogs

2212
1314151617
Time

What fraction of the dogs run 100m in exactly 17s?
[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:


0.050.050.050.85
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 5?
[1]
A wheel has 8 sections, each a number on it from 1 to 8. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?
[1]
A bag has 2 balls with numbers from 4 to 5. You take out 1 ball.
What is the probability of getting a ball with a number more than 4?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

53263
012345
Score

What is the probability of the boys to score more than 5?
[2]
You shoot an arrow at a target. You will either score 10 (40% chance), 40 (30% chance), or 50. What average score do you expect to get if you do this many times?
[1]
Roll 84 6-sided dice.
How many times would you expect to get less than or equal to 6?
[1]
Roll 24 6-sided dice.
How many times would you expect to get more than 2?
[1]