Addition Rules of Probability

Front

What is the Addition Rule of Probability?

Back

The Addition Rule of Probability states that the probability of the occurrence of at least one of two events A or B is given by P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

Front

Define mutually exclusive events.

Back

Mutually exclusive events are events that cannot occur at the same time. If A and B are mutually exclusive, then P(A ∩ B) = 0.

Front

What is the probability of choosing a student that plays an instrument OR a sport if 13 out of 20 students do either?

Back

13/20.

Front

In a Venn diagram, what does A ∩ B represent?

Back

A ∩ B represents the intersection of sets A and B, which includes all elements that are common to both sets.

Front

If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?

Back

39/52.

Front

What is the probability of rolling a die and getting an even number or a multiple of 3?

Back

2/3.

Front

How do you calculate the probability of two events A and B that are not mutually exclusive?

Back

P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

Front

What is the probability of choosing a card that is a spade OR a 7 from a standard deck?

Back

4/13.

Front

Define independent events in probability.

Back

Independent events are events where the occurrence of one event does not affect the occurrence of another. For independent events A and B, P(A ∩ B) = P(A) * P(B).

Front

What is the probability of drawing a heart or a queen from a standard deck of cards?

Back

P(Heart) + P(Queen) - P(Heart ∩ Queen) = 13/52 + 4/52 - 1/52 = 16/52.