Probability Concepts and Calculations

The video tutorial explains probability concepts using a 6-sided die. It covers calculating the probability of events A and B, their intersection, and union. The tutorial also discusses the complement of an event and provides an example with marbles to illustrate these concepts. Key formulas and probability calculations are demonstrated throughout.

What is the sample space when rolling a 6-sided die?

• 1, 2, 3, 4, 5, 6

• 1, 2, 3, 4, 5

• 1, 2, 3, 4

• 3, 4, 5

Which numbers are included in event A?

• 3, 4, 5

• 1, 2, 3, 4, 5

• 5, 6

• 1, 2, 3, 4

What is the probability of both events A and B occurring?

• 2/3

• 1/2

• 1/3

• 1/6

What is the probability of either event A or B occurring?

• 2/3

• 1/3

• 1/6

• 5/6

Which numbers are in the complement of event A?

• 5, 6

• 1, 2, 3, 4, 5

• 1, 2, 3, 4

• 3, 4, 5

What is the probability of the complement of event A?

• 1/2

• 1/3

• 2/3

• 1/6

What is the probability of event A occurring?

• 1/6

• 1/3

• 1/2

• 2/3

If the probability of selecting a red marble is 35%, what is the probability of not selecting a red marble?

• 35%

• 50%

• 65%

• 70%

What is the formula to find the probability of a complementary event?

• P(event) - 1

• 1 - P(event)

• 1 + P(event)

• P(event) + 1

How do you calculate the probability of an event?

• Total possible outcomes divided by number of favorable outcomes

• Number of favorable outcomes divided by total possible outcomes

• Total possible outcomes minus number of favorable outcomes

• Number of favorable outcomes multiplied by total possible outcomes