Probability Powerplay
Level 6, 2026-09-29
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
redpink
Color

Probability of Type

0.10.9
sedanwagon
Type

What is the probability of a car being a pink wagon?
[2]
A group of humans were timed running 100m. Here are the results:
humans

Time136
145
154
16
173

What fraction of the humans run 100m in more than 14s?
[2]
A bag has 4 red balls and 8 blue balls. You take out 1 blue ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
You shoot an arrow at a target. You will either score 10 (40% chance), 30 (20% chance), or 60. What average score do you expect to get if you do this many times?
[1]
A group of boys were timed running 100m. Here are the results:
boys

51461
1314151617
Time

What is the probability of the boys to run 100m in exactly 15s?
[2]
A group of dogs were timed running 100m. Here are the results:
dogs

4512
1314151617
Time

What is the probability of the dogs to run 100m in more than 14s?
[2]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.70.20.1
orangebluered
Color

If you choose a random ball from the bag, what is the probability of it being orange?
[1]
Roll 144 6-sided dice.
How many times would you expect to get less than or equal to 6?
[1]
A bag has 2 balls with number 8 and 5 balls with a number 2. What will be the average of the numbers of the balls taken out of the bag
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
greenredpurple
Color

If you choose a random ball from the bag, what is the probability of it being green or red?
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
132
140
155
160
172

What is the probability of the dogs to run 100m in more than 13s?
[2]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.30.40.3
orangeyellowgreen
Color

How many green balls were in the bag?
[1]
There are 16 balls in a bag. This is is the probability distribution of their color:


0.750.25
pinkorange
Color

How many orange balls were in the bag?
[1]
Flip a coin 8 times.
Each time a Tail comes up you win $4. It costs $15 to play (paid once). How much money would you expect to make altogether?
[1]
There are 120 balls in a bag. This is is the probability distribution of their color:


0.10.9
redblue
Color

How many red balls were in the bag?
[1]