Exploring Conditional Probability Concepts

This video tutorial covers the concept of conditional probability, explaining it through various examples such as selecting prime numbers, multiples of three, and using marbles, spinners, and cards. It also demonstrates the use of Venn diagrams to calculate probabilities in surveys and student activities. The tutorial aims to make understanding conditional probability intuitive and instinctive.

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

• Probability of event A given event B

• Probability of both events A and B

• Probability of event B given event A

• Probability of either event A or B

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?

• 1/3

• 1/4

• 1/2

• 1/5

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

• 1/4

• 1/3

• 1/5

• 1/2

How many perfect squares are there between 1 and 20?

• 5

• 2

• 3

• 4

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?

• 1/3

• 2/3

• 1/2

• 4/9

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

• 1/4

• 2/3

• 1/2

• 3/4

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

• 1/4

• 1/3

• 1/13

• 1/52

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?

• 3/4

• 2/3

• 1/3

• 1/2

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?

• 1/3

• 45/86

• 86/45

• 1/2

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?

• 20/92

• 1/4

• 1/5

• 5/23