Probability Powerplay
Level 6, 2026-10-10
A bag has 8 balls with number 9 and 7 balls with a number 1. 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 40 and a 70% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
Roll 42 6-sided dice.
How many times would you expect to get less than or equal to 2?
[1]
A wheel has 6 purple sections and 2 blue sections.
What is the probability of getting blue?
[1]
Flip 2 coins.
What is the probability of getting a head 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:


0.20.050.75
12345
Number

What is the probability of rolling a number that is bigger than or equal to 3?
[1]
A bag has 6 balls with numbers from 3 to 8. You take out 1 ball.
What is the probability of NOT getting the ball with the number 8?
[1]
Roll 1 6-sided die.
What is the probability of getting an even number?
[1]
A bag has 2 red balls and 9 blue balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting blue 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:


0.050.050.150.75
12345
Number

What is the probability of rolling a number from 3 to 5?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20, a 50% 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]
Flip a coin 2 times.
Each time a Tail comes up you win $3. How much money would you expect to make altogether?
[1]
The weather forecast says that the chances of rain are 60%. Your chance of being outside today is 50%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[1]
Flip a coin 14 times.
Each time a Tail comes up you win $4. It costs $21 to play (paid once). How much money would you expect to make altogether?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 4?
[1]
We asked a group of boys how many Bowls of Ramen they eat in a day. Here are the results:
boys

Bowls of Ramen0
12
21
31

What is the probability of the boys to eat exactly 2 Bowls of Ramen in a day?
[2]
You shoot an arrow at a target. There is a 70% chance of scoring a 20 and a 30% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

3161
012345
Score

What fraction of the boys score more than 2?
[2]