Probability Powerplay
Level 6, 2026-06-07
Roll 138 6-sided dice.
How many times would you expect to get more than or equal to 6?
[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:


0.450.10.10.250.1
12345
Number

What is the probability of rolling a number that is bigger than 4?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 3?
[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:


0.30.250.20.25
12345
Number

What is the probability of rolling 3 or 4?
[1]
Roll 1 6-sided die.
What is the probability of getting a 3?
[1]
You flip a coin and roll a 5 sided die.
What is the probability of getting a 6 and a head?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
01
10
21
32
41
54

What fraction of the dogs score less than 5?
[2]
Roll 1 6-sided die.
What is the probability of NOT getting a 4?
[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:


0.20.10.10.6
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 5?
[1]
A bag has 7 red balls, 4 blue balls and 8 yellow balls. You take out a yellow ball, then a red ball, then another ball.
What is the probability of getting yellow for the last ball?
[1]
Roll 102 6-sided dice.
How many times would you expect to get a number less than 5?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
purpleblue
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a purple sedan?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than 3?
[1]
Flip a coin 4 times.
Each time a head comes up you win $3 and with each tail you lose $2. It costs $1 to play (paid once). How much money would you expect to make altogether?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 30, a 50% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A group of boys did a math test and here are their scores out of 5:
Scoreboys
06
14
26
35
40
56

What is the probability of the boys to score less than 1?
[2]
A bag has 2 balls with number 3 and 2 balls with a number 6. What will be the average of the numbers of the balls taken out of the bag
[1]