Probability Powerplay
Level 6, 2026-06-01
A bag has 9 red balls and 4 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
A bag has 6 red balls and 5 blue balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
Flip 2 coins.
What is the probability of getting a head and a tail?
[1]
We asked a group of dogs how many Sandwiches they eat in a week. Here are the results:
dogs

Sandwiches02
11
21
36

What fraction of the dogs eat exactly 4 Sandwiches in a week?
[2]
A group of girls were timed running 100m. Here are the results:
Timegirls
132
140
152
164
174

What fraction of the girls run 100m in exactly 13s?
[2]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.10.9
redgreen
Color

How many red balls were in the bag?
[1]
The weather forecast says that the chances of rain are 70%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 90%.
What is the probability of getting wet today?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 20 and a 10% chance of scoring a 30 and a 60% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A group of girls were timed running 100m. Here are the results:
girls

Time133
14
155
166
17

What fraction of the girls run 100m in more than 13s?
[2]
A bag has 10 balls with numbers from 1 to 10. You take out 1 ball.
What is the probability of NOT getting the ball with the number 9?
[1]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
01
12
23
32
45
53

What fraction of the girls score more than 3?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.10.9
redorange
Color

How many orange balls were in the bag?
[1]
You roll a 8 sided die and a 4 sided die.
What is the probability of getting 2 on both dice?
[1]
You shoot an arrow at a target. You will either score 10 (40% chance), 30 (30% chance), or 50. What average score do you expect to get if you do this many times?
[1]
Roll 1 6-sided die.
What is the probability of getting a number smaller than 4?
[1]
A bag has 10 red balls, 6 blue balls and 7 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]