Distinguishing Mutually Exclusive and Overlapping Events

What does it mean if events are mutually exclusive?

• The events have at least one outcome in common.

• The events are dependent on each other.

• The events can occur at the same time.

• The events cannot occur at the same time.

How do you calculate the probability of mutually exclusive events?

• Just add the probabilities together.

• Subtract one probability from the other.

• Multiply the probabilities together.

• Add the probabilities and subtract the intersection.

What indicates overlapping events in a Venn diagram?

• The circles do not touch each other.

• A green color in the intersecting area.

• No colors mix in the diagram.

• Each circle is a different color.

How do you find the probability of overlapping events?

• Subtract one probability from the other.

• Just add the probabilities together.

• Multiply the probabilities together.

• Add the probabilities and subtract the intersection.

What does the green color in a Venn diagram represent?

• Mutually exclusive events

• The intersection of overlapping events

• Independent events

• Impossible events

What is the probability of rolling a sum of 3 or 8 with two dice?

• 7/36

• 5/36

• 10/36

• 2/36

When calculating the probability of rolling an even sum or a sum that's a multiple of 5, why do we subtract 3/36?

• It's a correction for the probability of rolling odd numbers.

• To adjust for the total number of outcomes.

• Because 10 is both even and a multiple of 5, leading to double counting.

• To account for sums that are neither even nor multiples of 5.

In a standard deck of cards, what's the probability of drawing a face card or an ace?

• 4/52

• 16/52

• 15/52

• 12/52

Why are face cards and aces considered mutually exclusive in a deck of cards?

• Because they represent different values.

• Because aces are not counted as face cards.

• Because they belong to different suits.

• All of the above.

What is the final probability of drawing a spade or a number card from a standard deck?

• 40/52

• 10/13

• 9/52

• 13/52