Probability Powerplay
Level 6, 2026-07-01
There are 50 balls in a bag. This is is the probability distribution of their color:


0.90.1
redgreenorange
Color

If you choose a random ball from the bag, what is the probability of it being orange or green?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.40.10.5
blueyellowpurple
Color

If you choose a random ball from the bag, what is the probability of it being blue or yellow?
[1]
Flip a coin 4 times.
How many times would you expect to get Heads?
[1]
The chances of feeling like icecream are 60%. The chances of being near an icecream store are 50%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
A bag has 9 balls with numbers from 2 to 10. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 1?
[1]
An obstacle course has 1 Fences and 2 Ditches. You have a 90% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
yellowpink
Color

Probability of Type

0.80.2
sedanwagon
Type

What is the probability of a car being a pink sedan?
[2]
A wheel has 10 sections, each a number on it from 1 to 10. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than or equal to 3?
[1]
You shoot an arrow at a target. There is a 70% chance of scoring a 10 and a 30% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A bag has 8 red balls and 10 blue balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting red 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:


0.050.050.9
12345
Number

What is the probability of rolling a number that is bigger than 1?
[1]
Flip a coin 18 times.
Each time a Head comes up you win $4. How much money would you expect to make altogether?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
redpink
Color

Probability of Type

0.60.4
wagonsedan
Type

What is the probability of a car being a pink sedan?
[2]
A bag has 4 red balls, 7 blue balls and 10 yellow balls. You take out a yellow ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
We asked a group of humans how many Icecreams they eat in a month. Here are the results:
humans

Icecreams06
1
24
3

What fraction of the humans eat less than 3 Icecreams in a month?
[2]
A bag has 4 balls with numbers from 1 to 4. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 0?
[1]