Probability Powerplay
Level 6, 2026-08-13
Roll 138 6-sided dice.
How many times would you expect to get more than 4?
[1]
A bag has 7 red balls, 8 blue balls and 9 yellow balls. You take out a red ball, then a yellow ball, then another ball.
What is the probability of getting yellow for the last ball?
[1]
A bag has 5 red balls, 4 blue balls and 8 yellow balls. You take out a yellow ball, then a yellow ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
Roll 1 6-sided die.
What is the probability of getting a number smaller than 3?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.90.1
pinkgreen
Color

How many green balls were in the bag?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score06
14
21
34
4
52

What fraction of the boys score more than 4?
[2]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
02
12
21
33
40
55

What is the probability of the girls to score more than 1?
[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:


0.650.150.2
12345
Number

What is the probability of rolling a number that is smaller than or equal to 3?
[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:


0.10.150.75
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 3?
[1]
A bag has 9 balls with numbers from 4 to 12. You take out 1 ball.
What is the probability of NOT getting the ball with the number 10?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 10, a 40% 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 bag has 3 red balls and 5 blue balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[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:


0.450.10.250.10.1
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 4?
[1]
We asked a group of boys how many Peaches they eat in a day. Here are the results:
boys

346
0123
Peaches

What fraction of the boys eat exactly 1 Peaches in a day?
[2]
Roll 12 6-sided dice.
How many times would you expect to get less than or equal to 5?
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
130
145
154
165
176

What fraction of the dogs run 100m in less than 15s?
[2]