Probability - Addition Rule and Mututally Exclusive

Front

What is the Addition Rule in probability?

Back

The Addition Rule states that the probability of the occurrence of at least one of two events is the sum of their individual probabilities minus the probability of their intersection.

Front

What does it mean for two events to be mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time. For example, rolling a 3 and rolling a 5 on a single die.

Front

Are the events of picking a jack and picking a heart mutually exclusive?

Back

No, they are not mutually exclusive because a jack can also be a heart (the jack of hearts).

Front

What is the probability of choosing a Monday or Tuesday from a week?

Back

The probability is 2/7.

Front

How do you calculate the probability of choosing a puppy or a parakeet from a pet store?

Back

Add the probabilities of choosing a puppy and a parakeet, then divide by the total number of pets.

Front

What is the probability of rolling a number greater than 3 or an even number on a 6-sided die?

Back

The probability is 2/3.

Front

If the probability of owning a skateboard is 0.37 and a bicycle is 0.81, how do you find the probability of owning either?

Back

Use the Addition Rule: P(Skateboard or Bicycle) = P(Skateboard) + P(Bicycle) - P(Skateboard and Bicycle).

Front

What is the total number of outcomes when rolling a 6-sided die?

Back

There are 6 possible outcomes: 1, 2, 3, 4, 5, and 6.

Front

If two events A and B are mutually exclusive, what is P(A and B)?

Back

P(A and B) = 0, because they cannot occur together.

Front

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

Back

The probability is 1/4, since there are 13 hearts in a deck of 52 cards.