Probability Powerplay
Level 6, 2026-08-13
Roll 108 6-sided dice.
How many times would you expect to get less than 2?
[1]
A bag has 7 red balls and 5 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
There are 16 balls in a bag. This is is the probability distribution of their color:


0.250.75
bluepink
Color

How many blue balls were in the bag?
[1]
A bag has 7 balls with number 3 and 7 balls with a number 8. What will be the average of the numbers of the balls taken out of the bag
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

Time136
14
15
161
172

What fraction of the dogs run 100m in less than 17s?
[2]
The weather forecast says that the chances of rain are 70%. Your chance of being outside today is 60%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[1]
The weather forecast says that the chances of rain are 90%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 80%.
What is the probability of getting wet today?
[1]
Flip a coin 10 times.
How many times would you expect to get Heads?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
purplegreen
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a purple 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:


0.050.050.250.150.5
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score03
14
2
31
41
55

What is the probability of the boys to score exactly 3?
[2]
We asked a group of boys how many Hot dogs they eat in a month. Here are the results:
boys

6254
0123
Hot dogs

What is the probability of the boys to eat exactly 1 Hot dogs in a month?
[2]
There are 45 balls in a bag. This is is the probability distribution of their color:


0.20.8
redpink
Color

How many red balls were in the bag?
[1]
The weather forecast says that the chances of rain are 90%. Your chance of being outside today is 90%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
orangebluepurple
Color

If you choose a random ball from the bag, what is the probability of it not being purple or orange?
[1]
Roll 1 6-sided die.
What is the probability of getting a number smaller than 5?
[1]