Probability Powerplay
Level 6, 2026-07-20
You flip a coin and roll a 6 sided die.
What is the probability of getting a 5 and a head?
[1]
Roll 1 6-sided die.
What is the probability of getting a 1?
[1]
Flip a coin 8 times.
Each time a Head comes up you win $2. How much money would you expect to make altogether?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are odd?
[1]
Flip a coin 16 times.
Each time a Tail comes up you win $3. It costs $21 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 10 red balls and 3 blue balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
A bag has 6 balls with number 2 and 4 balls with a number 4. What will be the average of the numbers of the balls taken out of the bag
[1]
You shoot an arrow at a target. There is a 10% chance of scoring a 10 and a 20% chance of scoring a 30 and a 70% chance of scoring a 60. What average score do you expect to get if you do this many times?
[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:


0.050.95
12345
Number

What is the probability of rolling a number that is smaller than or equal to 1?
[1]
We asked a group of girls how many Bowls of Ramen they eat in a day. Here are the results:
Bowls of Ramengirls
06
11
20
36

What fraction of the girls eat exactly 4 Bowls of Ramen in a day?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number more than 1 and a tail?
[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:


0.750.050.2
12345
Number

What is the probability of rolling 4 or 5?
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
133
142
153
165
172

What is the probability of the dogs to run 100m in more than 15s?
[2]
A group of kids did a math test and here are their scores out of 5:
Scorekids
05
10
22
33
41
52

What fraction of the kids score exactly 5?
[2]
A bag has 5 balls with number 2 and 6 balls with a number 9. What will be the average of the numbers of the balls taken out of the bag
[1]
A bag has 8 red balls and 2 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]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.60.20.2
redbluepurple
Color

If you choose a random ball from the bag, what is the probability of it being red or purple?
[1]