Probability Powerplay
Level 6, 2026-09-28
Flip a coin 2 times.
Each time a head comes up you win $2 and with each tail you lose $2. It costs $2 to play (paid once). How much money would you expect to make altogether?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.10.30.6
orangeyellowblue
Color

If you choose a random ball from the bag, what is the probability of it being blue?
[1]
Roll 30 6-sided dice.
How many times would you expect to get less than or equal to 5?
[1]
Flip a coin 18 times.
Each time a Head comes up you win $1. It costs $18 to play (paid once). How much money would you expect to make altogether?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
yellowgreen
Color

Probability of Type

0.20.8
sedanwagon
Type

What is the probability of a car being a yellow sedan?
[2]
A bag has 5 red balls, 9 blue balls and 9 yellow balls. You take out a red ball, then a yellow ball, then another ball.
What is the probability of getting yellow for the last ball?
[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:


0.650.150.150.05
12345
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 4?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
redpurplepink
Color

If you choose a random ball from the bag, what is the probability of it being purple or pink?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
134
142
150
164
176

What fraction of the boys run 100m in more than 17s?
[2]
The weather forecast says that the chances of rain are 50%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 40%.
What is the probability of getting wet today?
[1]
A bag has 9 balls with numbers from 3 to 11. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 12?
[1]
Roll 1 6-sided die.
What is the probability of getting an even number?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

54123
012345
Score

What is the probability of the girls to score exactly 5?
[2]
A group of boys did a math test and here are their scores out of 5:
boys

Score03
15
25
3
43
55

What fraction of the boys score exactly 3?
[2]
We asked a group of girls how many Pillows they eat in a day. Here are the results:
Pillowsgirls
06
14
22
33

What is the probability of the girls to eat exactly 3 Pillows in a day?
[2]