Understanding Probability Events (MEE & NMEE)

What are mutually exclusive events?

• Events that can occur simultaneously

• Mutually exclusive events are events that cannot occur at the same time.

• Events that are independent of each other

• Events that have the same outcome

What are not mutually exclusive events?

• Events that cannot occur together.

• Events that can occur at the same time.

• Events that are completely independent.

• Events that have no relation to each other.

If event A occurs, what is the probability of event B occurring if A and B are mutually exclusive?

• 0.25

• 0.5

• 1

• 0

Calculate the probability of rolling a 2 or a 5 on a fair six-sided die.

• 1/3

• 1/2

• 1/4

• 2/3

Identify an example of mutually exclusive events from the following: (a) flipping a coin, (b) drawing a card from a deck, (c) rolling a die.

• flipping a coin

• rolling a die

• tossing a frisbee

• drawing a card from a deck

Identify an example of not mutually exclusive events from the following: (a) winning a lottery, (b) drawing a red card from a deck, (c) rolling an even number on a die.

• winning a lottery and drawing a red card from a deck

• rolling an odd number on a die and winning a lottery

• drawing a black card from a deck and rolling an even number on a die

• drawing a red card from a deck and rolling an even number on a die

If the probability of event A is 0.3 and the probability of event B is 0.5, what is the probability of A or B if they are not mutually exclusive?

• 0.5 - P(A and B)

• 0.3 + 0.5

• 1.0 - P(A and B)

• 0.8 - P(A and B)

Differentiate between mutually exclusive and not mutually exclusive events with an example.

• Mutually exclusive events can occur together (e.g., rolling a die and flipping a coin).

• Mutually exclusive events are always independent of each other (e.g., winning and losing a game).

• Not mutually exclusive events cannot happen at the same time (e.g., drawing a red card and a black card).

• Mutually exclusive events cannot happen together (e.g., heads or tails in a coin flip), while not mutually exclusive events can occur together (e.g., drawing a red heart card).

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

• 1/2

• 3/4

• 1/3

• 1/4

If two events are mutually exclusive, what is the formula to calculate the probability of either event occurring?

• P(A or B) = P(A) - P(B)

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

• P(A or B) = P(A) * P(B)

• P(A or B) = P(A) + P(B)