Probability Powerplay
Level 6, 2026-07-21
A bag has 9 balls with number 1 and 4 balls with a number 6. You take out 1 ball.
What is the probability of getting the ball with the number 1?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are odd?
[1]
Flip a coin 14 times.
Each time a Tail comes up you win $1. It costs $17 to play (paid once). How much money would you expect to make altogether?
[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:


0.30.20.250.25
12345
Number

What is the probability of rolling a number from 4 to 5?
[1]
Roll 120 6-sided dice.
How many times would you expect to get less than 6?
[1]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
05
10
24
31
41
55

What is the probability of the girls to score less than 4?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

1
redorange
Color

Probability of Type

0.80.2
wagonsedan
Type

What is the probability of a car being a orange sedan?
[2]
We asked a group of boys how many Sandwiches they eat in a week. Here are the results:
boys

Sandwiches01
16
25
33

What fraction of the boys eat exactly 3 Sandwiches in a week?
[2]
We asked a group of boys how many Peaches they eat in a day. Here are the results:
Peachesboys
00
13
25
35

What fraction of the boys eat exactly 1 Peaches in a day?
[2]
The weather forecast says that the chances of rain are 40%. Your chance of being outside today is 60%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20, a 40% 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]
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:


0.90.1
12345
Number

What is the probability of rolling a number from 2 to 5?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than 2?
[1]
The weather forecast says that the chances of rain are 30%. Your chance of being outside today is 80%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

534
012345
Score

What is the probability of the boys to score exactly 4?
[2]