Probability Powerplay
Level 6, 2026-06-08
A group of people did a math test and here are their scores out of 5:
people

514253
012345
Score

What fraction of the people score more than 0?
[2]
Roll 90 6-sided dice.
How many times would you expect to get a number more than 5?
[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:


0.050.150.150.10.55
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 3?
[1]
A bag has 7 balls with numbers from 4 to 10. You take out 1 ball.
What is the probability of NOT getting the ball with the number 4?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than 6?
[1]
Roll 1 6-sided die.
What is the probability of getting a 5?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.60.4
purpleorange
Color

Probability of Type

0.40.6
wagonsedan
Type

What is the probability of a car being a orange sedan?
[2]
A group of girls did a math test and here are their scores out of 5:
girls

Score0
11
2
3
43
52

What is the probability of the girls to score more than 2?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.20.8
pinkorangeyellow
Color

If you choose a random ball from the bag, what is the probability of it not being orange?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 4 or a 5 and a head?
[1]
Roll a die 48 times.
How many times would you expect to get a 4?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 30 and a 50% chance of scoring a 40. 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:
Timedogs
136
143
153
163
171

What fraction of the dogs run 100m in less than 16s?
[2]
Roll 48 6-sided dice.
How many times would you expect to get anything except 6?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

Time135
141
15
165
172

What fraction of the dogs run 100m in exactly 17s?
[2]