12-11-2024 BR BLK4 Addition/Multiplication Rules

Front

What is the Addition Rule of Probability?

Back

The Addition Rule states that for any two events A and B, the probability of A or B occurring is given by P(A or B) = P(A) + P(B) - P(A and B).

Front

If P(A) = 0.24 and P(B) = 0.41, what is P(A and B) if P(A or B) = 0.47?

Back

Using the Addition Rule: P(A and B) = P(A) + P(B) - P(A or B) = 0.24 + 0.41 - 0.47 = 0.18.

Front

What is the probability of choosing a number from 1 to 10 that is either a 5 or an even number?

Back

There are 5 even numbers (2, 4, 6, 8, 10) and 1 (5) that is not even. Total favorable outcomes = 6. Total outcomes = 10. Probability = 6/10 = 3/5.

Front

How do you calculate the probability of an event?

Back

Probability of an event = (Number of favorable outcomes) / (Total number of possible outcomes).

Front

What is the probability of selecting a yellow or green marble from a jar containing 1 red, 3 green, 2 blue, and 4 yellow marbles?

Back

Total yellow and green marbles = 3 (green) + 4 (yellow) = 7. Total marbles = 10. Probability = 7/10.

Front

What is the formula for calculating the probability of either of two events occurring?

Back

P(A or B) = P(A) + P(B) - P(A and B).

Front

What does it mean if two events are independent?

Back

Two events A and B are independent if the occurrence of one does not affect the probability of the other, i.e., P(A and B) = P(A) * P(B).

Front

What is the probability of a person having a car accident or driving while intoxicated if P(accident) = 0.09 and P(intoxicated) = 0.32?

Back

Using the Addition Rule: P(accident or intoxicated) = P(accident) + P(intoxicated) - P(accident and intoxicated) = 0.09 + 0.32 - 0.15 = 0.26.

Front

What is the probability of an event that is certain?

Back

The probability of a certain event is 1.

Front

What is the probability of an impossible event?

Back

The probability of an impossible event is 0.