HW Flashcard: General Multiplication Rule

Front

What is the General Multiplication Rule in probability?

Back

The General Multiplication Rule states that the probability of the occurrence of two independent events A and B is the product of their individual probabilities: P(A and B) = P(A) * P(B).

Front

Define mutually exclusive events.

Back

Mutually exclusive events are events that cannot occur at the same time. If one event occurs, the other cannot.

Front

What does it mean if two events are not mutually exclusive?

Back

If two events are not mutually exclusive, it means that they can occur at the same time, and the occurrence of one event does not prevent the occurrence of the other.

Front

How do you calculate the probability of selecting a specific color block from a box?

Back

To calculate the probability of selecting a specific color block, divide the number of blocks of that color by the total number of blocks in the box.

Front

What is the probability of selecting a red or yellow block from a box containing 10 red, 6 green, 8 blue, and 4 yellow blocks?

Back

The probability is calculated as (number of red blocks + number of yellow blocks) / total number of blocks = (10 + 4) / (10 + 6 + 8 + 4) = 14/28 = 0.50.

Front

What is a tree diagram in probability?

Back

A tree diagram is a visual representation that shows all possible outcomes of an event and their probabilities, branching out from a starting point.

Front

What is the probability of an event occurring if the event has a 5% chance of happening?

Back

The probability of the event occurring is 0.05 or 5/100.

Front

If an event has a 8% chance of triggering an alarm, what is the probability that it does not trigger the alarm?

Back

The probability that it does not trigger the alarm is 1 - 0.08 = 0.92 or 92%.

Front

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

Back

The formula is P(A or B) = P(A) + P(B) - P(A and B).

Front

How do you express probability as a fraction?

Back

Probability can be expressed as a fraction by taking the number of favorable outcomes and dividing it by the total number of possible outcomes.