Illustrates events, and union and intersection of events.

Front

What is the intersection of two events A and B?

Back

The intersection of two events A and B, denoted as A ⋂ B, is the set of outcomes that are common to both events.

Front

What is the union of two events A and B?

Back

The union of two events A and B, denoted as A ∪ B, is the set of outcomes that belong to either event A, event B, or both.

Front

Define a simple event in probability.

Back

A simple event is an event that consists of a single outcome. For example, getting a Tail when tossing a coin.

Front

If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9}, what is A ⋂ B?

Back

A ⋂ B = {1, 2, 3, 5}

Front

What is the probability of picking a quarter from a bag containing 5 quarters, 2 dimes, and 4 pennies?

Back

The probability of picking a quarter is 5/11.

Front

What does the shaded part of a Venn diagram typically represent?

Back

The shaded part of a Venn diagram can represent the intersection or union of events, depending on the context.

Front

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

Back

To find the probability of two independent events A and B occurring together, multiply their individual probabilities: P(A and B) = P(A) * P(B).

Front

What is the formula for calculating the probability of the union of two events A and B?

Back

The probability of the union of two events A and B is given by: P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

Front

What is the total number of outcomes when rolling a die?

Back

The total number of outcomes when rolling a die is 6.

Front

If you flip a fair coin, what are the possible outcomes?

Back

The possible outcomes when flipping a fair coin are Heads and Tails.