Probability and Marbles Analysis

The video tutorial explains how to calculate conditional probabilities using a set of marbles. It covers three main problems: the probability of selecting a red marble given it's odd, the probability of selecting an odd marble given it's red, and the probability of selecting a marble numbered 2 given it's blue. The tutorial emphasizes the importance of identifying the correct denominator based on the given condition and simplifying fractions where possible.

How many marbles does Miguel have in total?

• 10

• 20

• 12

• 15

What is the probability that a randomly chosen marble is red given it is odd?

• 2/3

• 3/5

• 1/2

• 1/3

How many odd marbles are there in total?

• 12

• 14

• 10

• 8

What is the simplified probability of choosing a red marble given it is odd?

• 1/2

• 2/5

• 4/5

• 3/5

How many red marbles are there?

• 5

• 6

• 7

• 8

What is the probability of choosing an odd marble given it is red?

• 3/7

• 4/7

• 6/7

• 5/7

How many blue marbles are there?

• 3

• 4

• 5

• 6

What is the probability of choosing a marble numbered 2 given it is blue?

• 3/5

• 2/5

• 0

• 1/5

What is the denominator for the probability of choosing a marble numbered 2 given it is blue?

• 4

• 3

• 6

• 5

Is it possible to choose a marble numbered 2 given it is blue?

• Sometimes

• No

• Yes

• Only if it's red