Probability Powerplay
Level 6, 2026-07-29
A bag has 6 red balls and 8 blue balls. You take out 1 red ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
Roll 108 6-sided dice.
How many times would you expect to get less than 1?
[1]
A bag has 2 balls with numbers from 3 to 4. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 4?
[1]
You shoot an arrow at a target. You will either score 20 (50% chance), 30 (40% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

32426
012345
Score

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


0.10.150.20.20.35
12345
Number

What is the probability of rolling a 4?
[1]
We asked a group of people how many Oranges they eat in a month. Here are the results:
people

1316
0123
Oranges

What is the probability of the people to eat exactly 3 Oranges in a month?
[2]
A group of girls were timed running 100m. Here are the results:
girls

Time136
145
15
162
172

What is the probability of the girls to run 100m in more than 15s?
[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:


0.050.050.9
12345
Number

What is the probability of rolling a 1?
[1]
Flip a coin 10 times.
Each time a head comes up you win $3 and with each tail you lose $2. How much money would you expect to make altogether?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number equal to 5 and a tail?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

3446
012345
Score

What is the probability of the boys to score less than 4?
[2]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.60.30.1
yellowbluegreen
Color

If you choose a random ball from the bag, what is the probability of it not being blue or yellow?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.40.20.4
orangepinkgreen
Color

If you choose a random ball from the bag, what is the probability of it not being orange?
[1]
We asked a group of girls how many Apples they eat in a week. Here are the results:
girls

1536
0123
Apples

What fraction of the girls eat less than 3 Apples in a week?
[2]