Probability Powerplay
Level 6, 2026-10-05
A bag has 7 balls with number 7 and 5 balls with a number 2. 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 50% chance of scoring a 30, a 20% 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]
A bag has 9 balls with number 7 and 2 balls with a number 4. What will be the average of the numbers of the balls taken out of the bag
[1]
Roll 66 6-sided dice.
How many times would you expect to get anything except 1?
[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:


0.60.150.25
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 4?
[1]
Roll 90 6-sided dice.
How many times would you expect to get anything except 2?
[1]
The chances of feeling like icecream are 50%. The chances of being near an icecream store are 60%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
A bag has 2 red balls, 3 blue balls and 4 yellow balls. You take out a yellow ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
Flip 7 coins.
What is the probability of getting 7 heads?
[1]
There are 25 balls in a bag. This is is the probability distribution of their color:


0.80.2
pinkorange
Color

How many pink balls were in the bag?
[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:


0.150.150.20.5
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
A group of kids were timed running 100m. Here are the results:
kids

32154
1314151617
Time

What fraction of the kids run 100m in less than 13s?
[2]
A group of kids did a math test and here are their scores out of 5:
kids

Score05
13
23
36
44
51

What fraction of the kids score more than 0?
[2]
A group of dogs were timed running 100m. Here are the results:
dogs

Time135
143
151
165
176

What is the probability of the dogs to run 100m in exactly 16s?
[2]
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:


0.30.20.050.250.2
12345
Number

What is the probability of rolling a number from 2 to 3?
[1]
Flip a coin 8 times.
Each time a Tail comes up you win $4. How much money would you expect to make altogether?
[1]
Roll 114 6-sided dice.
How many times would you expect to get anything except 2?
[1]