Probability Powerplay
Level 6, 2025-12-05
A group of boys did a math test and here are their scores out of 5:
Scoreboys
02
15
25
35
44
50

What is the probability of the boys to score more than 2?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
greenyellow
Color

Probability of Type

1
sedanwagon
Type

What is the probability of a car being a yellow sedan?
[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:


0.10.050.20.65
12345
Number

What is the probability of rolling a number that is smaller than 2?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.90.1
yellowpurple
Color

How many yellow balls were in the bag?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number less than 5 and a tail?
[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:


0.050.250.7
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 2?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

Score05
15
25
36
4
51

What fraction of the girls score more than 5?
[2]
You shoot an arrow at a target. There is a 10% chance of scoring a 10 and a 40% chance of scoring a 30 and a 50% chance of scoring a 50. What average score do you expect to get if you do this many times?
[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:


0.40.150.150.20.1
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
Roll 150 6-sided dice.
How many times would you expect to get an odd number?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
purpleblueyellow
Color

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

311
1314151617
Time

What fraction of the boys run 100m in less than 17s?
[2]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.30.7
orangeblueyellow
Color

If you choose a random ball from the bag, what is the probability of it not being orange or yellow?
[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:


0.10.050.85
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
orangeyellowpurple
Color

How many orange balls were in the bag?
[1]
A bag has 11 balls with numbers from 1 to 11. You take out 1 ball.
What is the probability of NOT getting the ball with the number 7?
[1]