Probability Powerplay
Level 6, 2026-09-02
A group of kids were timed running 100m. Here are the results:
Timekids
135
141
151
161
170

What fraction of the kids run 100m in less than 14s?
[2]
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:


0.750.150.050.05
12345
Number

What is the probability of rolling a 2?
[1]
Roll 24 6-sided dice.
How many times would you expect to get less than or equal to 1?
[1]
You shoot an arrow at a target. There is a 70% chance of scoring a 20 and a 30% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
We asked a group of people how many Popsicles they eat in a week. Here are the results:
people

Popsicles03
1
26
31

What is the probability of the people to eat exactly 4 Popsicles in a week?
[2]
Flip a coin 10 times.
Each time a head comes up you win $1 and with each tail you lose $1. It costs $8 to play (paid once). How much money would you expect to make altogether?
[1]
A wheel has 5 blue sections and 2 orange sections.
What is the probability of getting blue?
[1]
We asked a group of boys how many Chocolates they eat in a month. Here are the results:
Chocolatesboys
01
13
26
30

What is the probability of the boys to eat more than 1 Chocolates in a month?
[2]
We asked a group of kids how many Icecreams they eat in a day. Here are the results:
kids

513
0123
Icecreams

What fraction of the kids eat less than 3 Icecreams in a day?
[2]
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 bag has 5 red balls and 7 blue balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
greenyellow
Color

Probability of Type

0.80.2
sedanwagon
Type

What is the probability of a car being a yellow wagon?
[2]
A group of people did a math test and here are their scores out of 5:
people

23544
012345
Score

What is the probability of the people to score less than 0?
[2]
Roll 138 6-sided dice.
How many times would you expect to get more than 5?
[1]