Probability Powerplay
Level 6, 2026-09-26
You shoot an arrow at a target. You will either score 10 (10% chance), 30 (20% chance), or 60. What average score do you expect to get if you do this many times?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.20.30.5
greenyellowred
Color

If you choose a random ball from the bag, what is the probability of it not being red 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:


0.10.10.8
12345
Number

What is the probability of rolling a number that is bigger than 4?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score04
16
21
33
43
53

What is the probability of the kids to score exactly 3?
[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:


0.70.050.25
12345
Number

What is the probability of rolling a number that is bigger than or equal to 3?
[1]
Roll 138 6-sided dice.
How many times would you expect to get less than 1?
[1]
There are 28 balls in a bag. This is is the probability distribution of their color:


0.750.25
greenpink
Color

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

Probability of Color

1
redgreen
Color

Probability of Type

0.90.1
sedanwagon
Type

What is the probability of a car being a green wagon?
[2]
The chances of feeling like icecream are 90%. The chances of being near an icecream store are 40%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
A bag has 3 balls with number 1 and 2 balls with a number 2. You take out 1 ball.
What is the probability of getting the ball with the number 2?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

Score0
14
26
36
43
55

What is the probability of the humans to score more than 1?
[2]
A group of girls were timed running 100m. Here are the results:
girls

Time132
145
153
166
171

What is the probability of the girls to run 100m in exactly 15s?
[2]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.60.20.2
redbluepink
Color

If you choose a random ball from the bag, what is the probability of it not being pink or blue?
[1]
There are 48 balls in a bag. This is is the probability distribution of their color:


0.750.25
yellowgreen
Color

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

Probability of Color

0.10.9
blueyellow
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a yellow wagon?
[2]