Probability and Marble Selection Concepts

This video tutorial covers the concepts of probability with and without replacement using a marble example. It explains how to calculate the probability of drawing marbles of specific colors from a bag, both when the marbles are replaced and when they are not. The tutorial provides step-by-step calculations and examples to illustrate independent and dependent events, and how these affect the probability outcomes. The video also includes converting probabilities into decimals and percentages for better understanding.

What is the total number of marbles in the bag?

• 10

• 12

• 15

• 9

If you select a marble and replace it, what type of events are these?

• Mutually exclusive

• Complementary

• Independent

• Dependent

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

• 1/2

• 1/3

• 1/6

• 1/4

How do you calculate the probability of two independent events occurring?

• Divide their probabilities

• Subtract their probabilities

• Multiply their probabilities

• Add their probabilities

What changes when you select marbles without replacement?

• The shape of marbles

• The color of marbles

• The total number of marbles

• The size of marbles

What is the probability of selecting a red marble after a blue one without replacement?

• 6/11

• 4/11

• 5/11

• 5/12

What is the probability of selecting a green marble with replacement?

• 1/3

• 1/6

• 1/4

• 1/2

How do you express 1/16 as a percentage?

• 6.25%

• 50%

• 12.5%

• 25%

What is the probability of selecting two green marbles without replacement?

• 1/16

• 1/22

• 1/11

• 1/12

What is the probability of selecting a second green marble after one has been selected without replacement?

• 4/11

• 3/11

• 2/11

• 1/11