Probability Powerplay
Level 6, 2026-09-18
Roll 114 6-sided dice.
How many times would you expect to get a number less than 4?
[1]
Roll 1 6-sided die.
What is the probability of NOT getting a 3?
[1]
Roll 66 6-sided dice.
How many times would you expect to get more than or equal to 2?
[1]
A wheel has 12 sections, each has a reward in dollars, from $1 through to $12.
What prize do we expect to get if we spin the wheel?
[1]
Roll 12 6-sided dice.
How many times would you expect to get more than 4?
[1]
Roll a die 120 times.
How many times would you expect to get a 4?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 4 or a 6 and a tail?
[1]
Roll 24 6-sided dice.
How many times would you expect to get an ugly number?
[1]
Flip a coin 4 times.
Each time a head comes up you win $3 and with each tail you lose $2. It costs $4 to play (paid once). How much money would you expect to make altogether?
[1]
A group of boys were timed running 100m. Here are the results:
boys

Time135
14
152
165
175

What is the probability of the boys to run 100m in more than 13s?
[2]
A group of humans did a math test and here are their scores out of 5:
humans

Score02
14
26
34
42
54

What is the probability of the humans to score less than 4?
[2]
Flip 2 coins.
What is the probability of getting 2 tails?
[1]
Flip a coin 14 times.
How many times would you expect to get Tails?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.10.40.5
purpleblueorange
Color

How many blue balls were in the bag?
[1]
We asked a group of humans how many Bananas they eat in a day. Here are the results:
Bananashumans
01
11
26
32

What is the probability of the humans to eat less than 2 Bananas in a day?
[2]
The weather forecast says that the chances of rain are 90%. Your chance of being outside today is 50%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 20, a 20% 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]