Probability Powerplay
Level 6, 2025-12-22
Roll 114 6-sided dice.
How many times would you expect to get less than or equal to 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:


0.40.20.20.10.1
12345
Number

What is the probability of rolling 1 or 3?
[1]
A group of kids did a math test and here are their scores out of 5:
Scorekids
01
12
24
35
40
55

What is the probability of the kids to score more than 0?
[2]
A bag has 3 red balls, 6 blue balls and 6 yellow balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting yellow for the last ball?
[1]
Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 2?
[1]
We asked a group of people how many Icecreams they eat in a month. Here are the results:
people

1452
0123
Icecreams

What is the probability of the people to eat more than 4 Icecreams in a month?
[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:


0.550.150.20.1
12345
Number

What is the probability of rolling a 4?
[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:


0.150.250.150.250.2
12345
Number

What is the probability of rolling a number that is bigger than 4?
[1]
A group of kids were timed running 100m. Here are the results:
kids

Time134
143
156
164
174

What fraction of the kids run 100m in exactly 16s?
[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:


0.20.20.250.35
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 1?
[1]
Flip a coin 2 times.
Each time a head comes up you win $3 and with each tail you lose $1. It costs $4 to play (paid once). How much money would you expect to make altogether?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.20.8
yellowpink
Color

How many pink balls were in the bag?
[1]
We asked a group of people how many Icecreams they eat in a day. Here are the results:
people

Icecreams06
15
2
3

What is the probability of the people to eat more than 0 Icecreams in a day?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

1
orangered
Color

Probability of Type

0.70.3
sedanwagon
Type

What is the probability of a car being a orange wagon?
[2]
A wheel has 3 pink sections and 4 blue sections.
What is the probability of getting blue?
[1]