Probability Powerplay
Level 6, 2026-02-19
A bag has 6 red balls, 2 blue balls and 10 yellow balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
We asked a group of girls how many Apples they eat in a week. Here are the results:
girls

326
0123
Apples

What fraction of the girls eat more than 0 Apples in a week?
[2]
A wheel has 9 sections, each a number on it from 1 to 9. If you spin an even number you win that amount of dollars, if you spin an odd number you lose.
What prize do we expect to get if we spin the wheel?
[1]
A bag has 4 balls with number 4 and 4 balls with a number 2. You take out 1 ball.
What is the probability of getting the ball with the number 2?
[1]
Roll 18 6-sided dice.
How many times would you expect to get more than 2?
[1]
Roll 108 6-sided dice.
How many times would you expect to get an even number?
[1]
A wheel has 13 sections, each a number on it from 1 to 13. 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]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.60.10.3
bluepinkred
Color

How many red balls were in the bag?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
pinkgreenblue
Color

How many pink balls were in the bag?
[1]
Flip a coin 18 times.
Each time a Head comes up you win $1. It costs $30 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 4 red balls and 6 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]
You shoot an arrow at a target. There is a 80% chance of scoring a 20 and a 20% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.90.1
yellowpurple
Color

How many purple balls were in the bag?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.60.4
purplepink
Color

Probability of Type

1
sedanwagon
Type

What is the probability of a car being a purple wagon?
[2]
There are 5 balls in a bag. This is is the probability distribution of their color:


0.20.8
redgreen
Color

How many green balls were in the bag?
[1]
A group of girls were timed running 100m. Here are the results:
Timegirls
130
144
156
166
172

What is the probability of the girls to run 100m in exactly 14s?
[2]
The weather forecast says that the chances of rain are 50%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 70%.
What is the probability of getting wet today?
[1]