Marble Probability and Counting Problems

The video tutorial explains how to calculate the probability of drawing one red and one blue marble from a jar containing five red, three blue, and two green marbles, without replacement. It covers two scenarios: drawing a red marble first followed by a blue marble, and drawing a blue marble first followed by a red marble. The probabilities of each scenario are calculated and then combined to find the total probability of drawing one red and one blue marble.

What is the total number of marbles in the jar?

• 8

• 15

• 10

• 12

How many red marbles are in the jar?

• 5

• 4

• 3

• 6

How many blue marbles are in the jar?

• 5

• 2

• 3

• 4

What is the probability of drawing a green marble first?

• 1/5

• 1/2

• 1/3

• 1/4

What are the two scenarios for drawing one red and one blue marble?

• Blue first, then green; Green first, then blue

• Red first, then green; Green first, then red

• Red first, then blue; Blue first, then red

• Red first, then red; Blue first, then blue

What is the probability of drawing a red marble first?

• 1/5

• 1/4

• 1/3

• 1/2

After drawing a red marble, what is the probability of drawing a blue marble next?

• 1/5

• 1/2

• 1/4

• 1/3

If a red marble is drawn first, how many marbles are left in the jar?

• 11

• 10

• 9

• 8

What is the probability of drawing a blue marble first?

• 1/5

• 1/2

• 1/3

• 1/4

After drawing a blue marble, what is the probability of drawing a red marble next?

• 1/5

• 1/4

• 1/3

• 1/2