Probability Powerplay
Level 6, 2026-05-13
A group of girls did a math test and here are their scores out of 5:
Scoregirls
03
11
21
35
44
55

What fraction of the girls score exactly 2?
[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:


0.250.050.7
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
The chances of feeling like icecream are 90%. The chances of being near an icecream store are 70%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.20.20.6
pinkyellowpurple
Color

If you choose a random ball from the bag, what is the probability of it being purple?
[1]
A group of girls were timed running 100m. Here are the results:
girls

6553
1314151617
Time

What fraction of the girls run 100m in less than 16s?
[2]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.40.20.4
greenpinkred
Color

How many green balls were in the bag?
[1]
A bag has 9 balls with number 6 and 5 balls with a number 9. What will be the average of the numbers of the balls taken out of the bag
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 10, a 50% chance of scoring a 40, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

Score06
15
21
33
46
54

What is the probability of the humans to score exactly 5?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.90.1
greenpinkyellow
Color

How many green balls were in the bag?
[1]
Roll 84 6-sided dice.
How many times would you expect to get a number more than 2?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
yellowpurple
Color

Probability of Type

0.20.8
wagonsedan
Type

What is the probability of a car being a purple wagon?
[2]
A wheel has 6 red sections and 2 pink sections.
What is the probability of getting pink?
[1]
A bag has 8 red balls, 6 blue balls and 9 yellow balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

Score01
1
24
31
46
52

What is the probability of the humans to score exactly 4?
[2]