Probability Powerplay
Level 6, 2026-07-02
Cars go by on a road, each is a different color and type.

Probability of Color

0.70.3
greenpink
Color

Probability of Type

0.10.9
wagonsedan
Type

What is the probability of a car being a pink wagon?
[2]
A bag has 7 red balls and 10 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]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
purplegreen
Color

Probability of Type

0.90.1
sedanwagon
Type

What is the probability of a car being a purple wagon?
[2]
The weather forecast says that the chances of rain are 20%. Your chance of being outside today is 80%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[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:


0.250.150.10.050.45
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
A group of people were timed running 100m. Here are the results:
people

Time136
146
154
163
173

What fraction of the people run 100m in more than 15s?
[2]
Roll 1 6-sided die.
What is the probability of getting an odd number?
[1]
Flip 7 coins.
What is the probability of getting 7 tails?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


1
bluegreenorange
Color

How many orange balls were in the bag?
[1]
A bag has 4 red balls, 10 green balls and 8 blue balls. You take out 1 ball.
What is the probability of getting a green ball?
[1]
The chances of feeling like icecream are 90%. The chances of being near an icecream store are 70%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
You shoot an arrow at a target. There is a 10% chance of scoring a 10 and a 10% chance of scoring a 40 and a 80% 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 3 blue balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
There are 32 balls in a bag. This is is the probability distribution of their color:


0.250.75
yelloworange
Color

How many orange balls were in the bag?
[1]
A group of people did a math test and here are their scores out of 5:
people

Score06
1
25
31
43
52

What fraction of the people score more than 5?
[2]
A bag has 5 red balls, 7 blue balls and 5 yellow balls. You take out a yellow ball, then a yellow ball, then another ball.
What is the probability of getting blue for the last ball?
[1]