Exploring Conditional Probability Concepts

What does the notation P(B|A) represent in conditional probability?

If you are picking a number from 1 to 20, what is the probability of picking a prime number given that the number is greater than 8?

What is the probability of picking a multiple of three given that the number is odd?

How many perfect squares are there between 1 and 20?

Given a bag of marbles with 8 red, 2 blue, 4 yellow, and 6 white marbles, what is the probability of picking a red marble given that the marble is not blue?

If a spinner is spun, what is the probability of landing on a shaded section given that it is a vowel?

In a standard deck of 52 cards, what is the probability of drawing an ace given that the card is a diamond?

In a Venn diagram, if 16 people drink tea and 12 of them also drink coffee, what is the probability of someone drinking coffee given that they drink tea?

If 86% of cars on a lot are new and 45% of the cars are new with a sunroof, what is the probability of choosing a car with a sunroof given that it is new?

In a group of 400 students, 92 are in band, 60 are in chorus, and 20 are in both. What is the probability of a student being in chorus given that they are in band?