Probability Powerplay
Level 6, 2026-06-24
A group of humans did a math test and here are their scores out of 5:
humans

Score03
16
21
35
41
54

What is the probability of the humans to score more than 5?
[2]
A bag has 5 balls with number 8 and 8 balls with a number 6. You take out 1 ball.
What is the probability of getting the ball with the number 8?
[1]
There are 24 balls in a bag. This is is the probability distribution of their color:


0.250.75
orangered
Color

How many orange balls were in the bag?
[1]
Flip a coin 2 times.
Each time a head comes up you win $1 and with each tail you lose $2. It costs $3 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 96 6-sided dice.
How many times would you expect to get more than or equal to 2?
[1]
Roll 12 6-sided dice.
How many times would you expect to get more than 1?
[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:


0.80.050.15
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

Time132
145
156
165
173

What fraction of the kids run 100m in more than 13s?
[2]
Roll 12 6-sided dice.
How many times would you expect to get less than or equal to 5?
[1]
A group of girls were timed running 100m. Here are the results:
girls

635
1314151617
Time

What fraction of the girls 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:


0.60.250.15
12345
Number

What is the probability of rolling 1 or 3?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.10.9
redpurple
Color

How many red balls were in the bag?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
bluepurple
Color

Probability of Type

0.40.6
wagonsedan
Type

What is the probability of a car being a purple sedan?
[2]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
03
12
23
33
41
53

What is the probability of the dogs to score less than 4?
[2]
A bag has 7 balls with number 6 and 4 balls with a number 2. What will be the average of the numbers of the balls taken out of the bag
[1]