Probability of Selecting Blue Marbles

The video tutorial explains a probability problem involving Tara selecting marbles from two bags. It covers setting up the problem, understanding probability, calculating individual probabilities for each bag, and combining these probabilities to find the final result. The tutorial emphasizes the use of fractions and multiplication in probability calculations.

What is the total number of marbles in the first bag?

• 20

• 12

• 15

• 10

How many blue marbles are there in the first bag?

• 7

• 6

• 5

• 4

What is the probability of selecting a blue marble from the first bag?

• 1/3

• 1/2

• 1/4

• 1/5

What is the simplified form of 5/15?

• 1/4

• 1/3

• 1/5

• 1/2

How many marbles are there in the second bag?

• 11

• 10

• 8

• 9

How many blue marbles are in the second bag?

• 4

• 1

• 2

• 3

What is the probability of selecting a blue marble from the second bag?

• 1/3

• 2/9

• 1/5

• 1/4

What operation is used to find the probability of both events happening?

• Addition

• Multiplication

• Division

• Subtraction

What is the final probability of selecting a blue marble from each bag?

• 1/6

• 1/9

• 2/27

• 3/27

Why is it not necessary to find a common denominator when multiplying fractions?

• Because the numerators are the same

• Because the fractions are already simplified

• Because multiplication of fractions is straightforward

• Because the denominators are the same