Probability Powerplay
Level 6, 2026-03-24
We asked a group of boys how many Hot dogs they eat in a day. Here are the results:
Hot dogsboys
01
10
23
30

What fraction of the boys eat exactly 1 Hot dogs in a day?
[2]
You shoot an arrow at a target. There is a 20% chance of scoring a 10 and a 10% chance of scoring a 40 and a 70% chance of scoring a 60. What average score do you expect to get if you do this many times?
[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:


0.650.20.10.05
12345
Number

What is the probability of rolling a number that is smaller than 1?
[1]
A group of humans were timed running 100m. Here are the results:
Timehumans
132
141
151
164
170

What is the probability of the humans to run 100m in exactly 13s?
[2]
An obstacle course has 2 Fences and 1 Ditches. You have a 80% chance of clearing a Fence and a 100% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Roll 12 6-sided dice.
How many times would you expect to get a number less than 7?
[1]
You roll a 9 sided die and a 6 sided die.
What is the probability of getting 1 on both dice?
[1]
A group of humans did a math test and here are their scores out of 5:
Scorehumans
05
10
24
34
43
50

What fraction of the humans score less than 3?
[2]
The weather forecast says that the chances of rain are 90%. Your chance of being outside today is 40%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
greenpink
Color

Probability of Type

0.80.2
wagonsedan
Type

What is the probability of a car being a green wagon?
[2]
We asked a group of dogs how many Burgers they eat in a month. Here are the results:
Burgersdogs
03
15
22
35

What fraction of the dogs eat exactly 2 Burgers in a month?
[2]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score06
13
25
33
41
54

What fraction of the dogs score exactly 4?
[2]
Roll 6 6-sided dice.
How many times would you expect to get a number less than 7?
[1]
A bag has 9 red balls and 5 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]