Probability Powerplay
Level 6, 2026-07-02
You shoot an arrow at a target. You will either score 20 (20% chance), 30 (40% chance), or 60. What average score do you expect to get if you do this many times?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
02
11
23
36
42
51

What is the probability of the dogs to score exactly 0?
[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:


0.350.250.150.25
12345
Number

What is the probability of rolling 2 or 5?
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
135
141
155
166
174

What is the probability of the dogs to run 100m in exactly 13s?
[2]
A wheel has 4 green sections and 7 orange sections.
What is the probability of getting green?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.90.1
greenblue
Color

How many green balls were in the bag?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
03
15
22
30
46
50

What is the probability of the humans to score less than 3?
[2]
A group of people were timed running 100m. Here are the results:
Timepeople
134
144
150
163
175

What fraction of the people run 100m in exactly 15s?
[2]
Roll 138 6-sided dice.
How many times would you expect to get an odd number?
[1]
You roll a 9 sided die and a 5 sided die.
What is the probability of getting 4 on both dice?
[1]
A bag has 7 red balls and 4 blue balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A bag has 3 red balls, 4 blue balls and 5 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 60 6-sided dice.
How many times would you expect to get an even number?
[1]
Roll a die 102 times.
How many times would you expect to get a 5?
[1]
A wheel has 11 sections, each has a reward in dollars, from $1 through to $11.
What prize do we expect to get if we spin the wheel?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 3?
[1]