Probability Powerplay
Level 6, 2026-11-15
A bag has 4 balls with number 9 and 6 balls with a number 5. What will be the average of the numbers of the balls taken out of the bag
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.40.40.2
redyellowgreen
Color

If you choose a random ball from the bag, what is the probability of it being red or yellow?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

63635
012345
Score

What fraction of the girls score exactly 1?
[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:


0.10.250.250.4
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 5?
[1]
A group of kids were timed running 100m. Here are the results:
kids

12446
1314151617
Time

What is the probability of the kids to run 100m in less than 17s?
[2]
A group of girls were timed running 100m. Here are the results:
Timegirls
135
140
151
163
175

What fraction of the girls run 100m in exactly 16s?
[2]
You shoot an arrow at a target. There is a 30% chance of scoring a 10 and a 20% chance of scoring a 40 and a 50% 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:


0.50.050.250.2
12345
Number

What is the probability of rolling 1 or 3?
[1]
Flip a coin 2 times.
Each time a head comes up you win $1 and with each tail you lose $3. It costs $2 to play (paid once). How much money would you expect to make altogether?
[1]
A group of people were timed running 100m. Here are the results:
Timepeople
131
146
153
160
172

What fraction of the people run 100m in more than 15s?
[2]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.40.20.4
bluepinkpurple
Color

If you choose a random ball from the bag, what is the probability of it not being pink or blue?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.20.50.3
orangeyellowpurple
Color

How many purple balls were in the bag?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.70.3
yellowpurplegreen
Color

If you choose a random ball from the bag, what is the probability of it not being green or yellow?
[1]
Roll 132 6-sided dice.
How many times would you expect to get more than or equal to 5?
[1]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
04
13
22
30
45
53

What is the probability of the girls to score exactly 1?
[2]