Probability Powerplay
Level 6, 2026-08-20
Roll 102 6-sided dice.
How many times would you expect to get an odd number?
[1]
A bag has 7 red balls and 3 blue balls. You take out 1 red ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
A bag has 7 balls with numbers from 2 to 8. You take out 1 ball.
What is the probability of NOT getting the ball with the number 9?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 20, a 20% 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]
The weather forecast says that the chances of rain are 90%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 40%.
What is the probability of getting wet today?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
yellowblue
Color

Probability of Type

0.70.3
sedanwagon
Type

What is the probability of a car being a blue wagon?
[2]
We asked a group of boys how many Chocolates they eat in a week. Here are the results:
Chocolatesboys
00
16
20
32

What fraction of the boys eat exactly 0 Chocolates in a week?
[2]
A group of kids were timed running 100m. Here are the results:
kids

Time133
145
155
164
174

What fraction of the kids run 100m in less than 16s?
[2]
Flip a coin 4 times.
Each time a Head comes up you win $2. How much money would you expect to make altogether?
[1]
You shoot an arrow at a target. There is a 20% chance of scoring a 10 and a 40% chance of scoring a 40 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
You shoot an arrow at a target. There is a 10% chance of scoring a 20 and a 30% chance of scoring a 40 and a 60% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A wheel has 7 sections, each has a reward in dollars, from $1 through to $7.
What prize do we expect to get if we spin the wheel?
[1]
A group of boys did a math test and here are their scores out of 5:
Scoreboys
00
15
24
34
41
53

What fraction of the boys score exactly 5?
[2]
Flip 1 coin.
What is the probability of getting a head?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 10 and a 40% chance of scoring a 30 and a 20% chance of scoring a 50. 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:


0.60.20.150.05
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 3?
[1]