Combined Events flashcards
32 practice cards drawn from the Combined Events lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.
Read the Combined Events lessons in full →
Which symbol names the overlap, the homes that keep both pets?
from “Naming the Regions of a Venn Diagram”
How many homes keep a dog or a cat, or both?
15
from “Naming the Regions of a Venn Diagram”
Two dice are rolled. How many pairs total 10?
3
from “Possibility Diagrams”
Two dice are rolled. How many pairs total 5?
4
from “Possibility Diagrams”
A 2-by-1 patch sits on a 4-by-4 board. What is the chance the dart lands on the patch?
from “Chance from Areas”
A 3-by-2 patch sits on a 6-by-4 board. What is the chance the dart lands on the patch?
from “Chance from Areas”
One outcome has chance and another has , and they cannot both happen. What is the chance of either one?
from “Mutually Exclusive Events”
Three mutually exclusive outcomes cover every case. Two have chances and . What is the chance of the third?
from “Mutually Exclusive Events”
, and P(A and . What is P(A or B)?
from “The Addition Rule for Overlapping Events”
, and P(A and . What is P(A or B)?
from “The Addition Rule for Overlapping Events”
Two independent events have chances and . What is the chance that both happen?
from “Independent Events”
Two independent events have chances and . What is the chance that both happen?
from “Independent Events”
Two independent tries, each with chance of a win. What is the chance of winning both?
from “Tree Diagrams”
Two independent tries, each with chance of a win. What is the chance of winning both?
from “Tree Diagrams”
Two independent tries, each with chance of a win. What is the chance of at least one win?
from “The Chance of At Least One”
Two independent tries, each with chance of a win. What is the chance of at least one win?
from “The Chance of At Least One”
A bag holds 3 red counters and 2 blue. One red is taken out. What is the chance the next one is red?
from “Without Replacement”
A bag holds 5 red counters and 2 blue. One red is taken out. What is the chance the next one is red?
from “Without Replacement”
A bag holds 3 red counters and 3 blue. Two are drawn and neither is put back. What is the chance of one of each color?
from “Multiplying Along a Tree Without Replacement”
A bag holds 4 red counters and 2 blue. Two are drawn and neither is put back. What is the chance of one of each color?
from “Multiplying Along a Tree Without Replacement”
8 people play music and 5 of those also play sport. Given that a person plays music, what is the chance they play sport?
from “Conditional Probability”
7 people play music and 2 of those also play sport. Given that a person plays music, what is the chance they play sport?
from “Conditional Probability”
Which one means the chance of A, given that B has happened?
P(A | B)
from “Conditional Probability Notation”
P(A and and . What is P(A | B)?
from “Conditional Probability Notation”
What is the chance of winning by switching?
from “The Monty Hall Problem”
What is the chance of winning by staying?
from “The Monty Hall Problem”
With 23 people, what is the chance two share a birthday?
about a half
from “The Birthday Paradox”
With 5 people, what is the chance two share a birthday?
very small
from “The Birthday Paradox”
If the illness becomes rarer, what happens to a positive test result?
more of the positives are false
from “Why a Positive Test Can Still Mean Healthy”
Screen 1000 people: 1 is ill, and the test is right 99 times in 100. About how many test positive?
about 11
from “Why a Positive Test Can Still Mean Healthy”
Which product is the numerator of P(ill | positive)?
0.001 × 0.99
from “Reversing a Tree: the Base-Rate Answer”
Why is the chance so small?
the well outnumber the ill a thousand to one
from “Reversing a Tree: the Base-Rate Answer”