Probability Powerplay
Level 6, 2026-10-25
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
redpurple
Color

Probability of Type

0.70.3
wagonsedan
Type

What is the probability of a car being a red sedan?
[2]
Roll 60 6-sided dice.
How many times would you expect to get less than 1?
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
136
144
150
161
173

What fraction of the dogs run 100m in more than 14s?
[2]
You shoot an arrow at a target. There is a 40% chance of scoring a 30, a 30% 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

Score04
15
22
35
46
56

What is the probability of the humans to score less than 2?
[2]
A group of boys were timed running 100m. Here are the results:
Timeboys
135
146
155
166
174

What is the probability of the boys to run 100m in more than 13s?
[2]
You shoot an arrow at a target. There is a 40% chance of scoring a 10 and a 30% chance of scoring a 40 and a 30% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
pinkgreen
Color

Probability of Type

0.60.4
wagonsedan
Type

What is the probability of a car being a green wagon?
[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:


0.550.20.25
12345
Number

What is the probability of rolling a number from 1 to 4?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 3?
[1]
A group of boys were timed running 100m. Here are the results:
boys

2522
1314151617
Time

What fraction of the boys run 100m in less than 15s?
[2]
A wheel has 12 sections, each a number on it from 1 to 12. If you spin an even number you win that amount of dollars, if you spin an odd number you lose.
What prize do we expect to get if we spin the wheel?
[1]
Roll 102 6-sided dice.
How many times would you expect to get anything except 5?
[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:


0.250.10.20.250.2
12345
Number

What is the probability of rolling a number that is smaller than or equal to 1?
[1]