Probability Powerplay
Level 6, 2026-02-15
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:


0.150.050.10.7
12345
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 4?
[1]
You flip a coin and roll a 3 sided die.
What is the probability of getting a 2 and a tail?
[1]
You roll a 9 sided die and a 10 sided die.
What is the probability of getting 6 on both dice?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

414
012345
Score

What is the probability of the girls to score exactly 3?
[2]
Roll 144 6-sided dice.
How many times would you expect to get more than or equal to 3?
[1]
A group of girls were timed running 100m. Here are the results:
girls

Time13
143
152
161
175

What is the probability of the girls to run 100m in more than 16s?
[2]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
purpleyellowgreen
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

1
purplered
Color

Probability of Type

0.40.6
sedanwagon
Type

What is the probability of a car being a purple wagon?
[2]
Flip a coin 16 times.
Each time a head comes up you win $2 and with each tail you lose $1. It costs $21 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 132 6-sided dice.
How many times would you expect to get less than or equal to 3?
[1]
Roll 72 6-sided dice.
How many times would you expect to get more than 1?
[1]
You roll a 10 sided die and a 4 sided die.
What is the probability of getting 2 on both dice?
[1]
A bag has 4 balls with number 6 and 9 balls with a number 7. What will be the average of the numbers of the balls taken out of the bag
[1]
Flip a coin 16 times.
Each time a Tail comes up you win $4. How much money would you expect to make altogether?
[1]
A bag has 5 balls with numbers from 3 to 7. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 8?
[1]
A wheel has 13 sections, each a number on it from 1 to 13. 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]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.80.2
greenyellow
Color

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