Probability Powerplay
Level 6, 2025-12-02
You flip a coin and roll a 6 sided die.
What is the probability of getting a number equal to 3 and a tail?
[1]
Roll 138 6-sided dice.
How many times would you expect to get an even number?
[1]
You shoot an arrow at a target. There is a 20% chance of scoring a 20 and a 20% chance of scoring a 30 and a 60% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
There are 32 balls in a bag. This is is the probability distribution of their color:


0.750.25
purplered
Color

How many red balls were in the bag?
[1]
Flip 7 coins.
What is the probability of getting 7 heads?
[1]
A group of people were timed running 100m. Here are the results:
people

2433
1314151617
Time

What fraction of the people run 100m in exactly 15s?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
greenred
Color

Probability of Type

0.50.5
wagonsedan
Type

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

Time136
142
155
166
172

What fraction of the kids run 100m in more than 16s?
[2]
A group of people did a math test and here are their scores out of 5:
people

33515
012345
Score

What fraction of the people score less than 2?
[2]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.70.20.1
orangeblueyellow
Color

How many yellow balls were in the bag?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 20, a 30% 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]
Roll 24 6-sided dice.
How many times would you expect to get less than or equal to 3?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.40.6
yellowpinkpurple
Color

How many pink balls were in the bag?
[1]
A bag has 2 balls with number 8 and 6 balls with a number 8. You take out 1 ball.
What is the probability of getting the ball with the number 8?
[1]
A group of people did a math test and here are their scores out of 5:
people

2615
012345
Score

What is the probability of the people to score less than 2?
[2]