Probability Powerplay
Level 6, 2026-01-14
A bag has 3 red balls and 5 blue balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 30, a 40% chance of scoring a 40, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[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]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.70.3
orangeyellowblue
Color

If you choose a random ball from the bag, what is the probability of it being orange or yellow?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are 1 or 4?
[1]
A bag has 9 balls with numbers from 4 to 12. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 3?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are more than 3?
[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:


0.250.050.050.65
12345
Number

What is the probability of rolling a number from 4 to 5?
[1]
A bag has 2 red balls, 2 blue balls and 8 yellow balls. You take out a yellow ball, then a yellow ball, then another ball.
What is the probability of getting yellow for the last ball?
[1]
A wheel has 2 blue sections and 4 yellow sections.
What is the probability of getting blue?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 2 or a 2 and a tail?
[1]
We asked a group of people how many Pillows they eat in a week. Here are the results:
Pillowspeople
05
11
24
35

What is the probability of the people to eat less than 3 Pillows in a week?
[2]
A group of humans did a math test and here are their scores out of 5:
humans

61111
012345
Score

What fraction of the humans score less than 4?
[2]
Flip 3 coins.
What is the probability of getting 3 tails?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.60.4
bluepinkred
Color

How many pink balls were in the bag?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.80.2
greenpurpleblue
Color

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

Score0
14
26
32
41
5

What fraction of the kids score less than 2?
[2]