Probability Powerplay
Level 6, 2026-09-21
We asked a group of boys how many Popsicles they eat in a week. Here are the results:
Popsiclesboys
06
16
25
30

What fraction of the boys eat exactly 0 Popsicles in a week?
[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:


0.10.250.10.55
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
Flip 2 coins.
What is the probability of getting 2 tails?
[1]
Flip a coin 6 times.
Each time a Head comes up you win $2. How much money would you expect to make altogether?
[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:


0.70.10.150.05
12345
Number

What is the probability of rolling a number that is bigger than 4?
[1]
A bag has 2 red balls and 6 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]
Roll 72 6-sided dice.
How many times would you expect to get more than 4?
[1]
We asked a group of boys how many Hot dogs they eat in a month. Here are the results:
Hot dogsboys
05
14
21
35

What fraction of the boys eat exactly 3 Hot dogs in a month?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.60.4
purpleyellow
Color

Probability of Type

0.50.5
wagonsedan
Type

What is the probability of a car being a yellow wagon?
[2]
There are 15 balls in a bag. This is is the probability distribution of their color:


0.20.8
purplepink
Color

How many purple balls were in the bag?
[1]
Roll 96 6-sided dice.
How many times would you expect to get less than or equal to 3?
[1]
Roll 150 6-sided dice.
How many times would you expect to get more than or equal to 4?
[1]
We asked a group of humans how many Chocolates they eat in a day. Here are the results:
humans

Chocolates01
12
24
31

What is the probability of the humans to eat exactly 2 Chocolates in a day?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.10.9
purpleredgreen
Color

How many purple balls were in the bag?
[1]
The weather forecast says that the chances of rain are 70%. Your chance of being outside today is 50%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[1]
Flip a coin 8 times.
Each time a head comes up you win $1 and with each tail you lose $2. How much money would you expect to make altogether?
[1]