Probability Powerplay
Level 6, 2026-04-13
Flip a coin 8 times.
How many times would you expect to get Heads?
[1]
There are 22 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkred
Color

How many red balls were in the bag?
[1]
A bag has 5 red balls and 10 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
134
144
153
160
176

What fraction of the dogs run 100m in less than 13s?
[2]
We asked a group of people how many Chocolates they eat in a month. Here are the results:
Chocolatespeople
00
16
21
32

What is the probability of the people to eat more than 1 Chocolates in a month?
[2]
Roll 30 6-sided dice.
How many times would you expect to get an odd number?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 10, a 10% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 6 or a 6 and a head?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.30.7
yellowpurplered
Color

If you choose a random ball from the bag, what is the probability of it not being red or yellow?
[1]
Roll 72 6-sided dice.
How many times would you expect to get a number more than 5?
[1]
A bag has 4 red balls and 8 blue balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

213665
012345
Score

What fraction of the kids score more than 3?
[2]
You shoot an arrow at a target. You will either score 20 (50% chance), 30 (10% chance), or 50. What average score do you expect to get if you do this many times?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.20.10.7
pinkorangepurple
Color

If you choose a random ball from the bag, what is the probability of it being orange or purple?
[1]
Flip a coin 14 times.
Each time a Tail comes up you win $3. It costs $26 to play (paid once). How much money would you expect to make altogether?
[1]
Flip 2 coins.
What is the probability of getting 2 tails?
[1]
A bag has 6 red balls, 10 blue balls and 3 yellow balls. You take out a yellow ball, then a blue ball, then another ball.
What is the probability of getting yellow for the last ball?
[1]