What are mutually exclusive events?, Events that cannot happen at the same time., What happens to one event if another mutually exclusive event occurs?, The other event cannot occur., When rolling a six-sided die, are the events “rolling an even number” and “rolling a 3” mutually exclusive? Explain., Yes. A number cannot be both even and 3 at the same time., A card is drawn from a standard deck. Are the events “drawing a king” and “drawing a queen” mutually exclusive?, Yes, because one card cannot be both a king and a queen., A spinner has numbers 1–8. Are the events “landing on a number less than 4” and “landing on a number greater than 6” mutually exclusive?, Yes, because no number can satisfy both conditions., What probability rule is used when events are mutually exclusive?P(A \cup B) = P(A) + P(B), The probability of either event happening is the sum of their probabilities., If P(A)=0.25 and P(B)=0.45, and the events are mutually exclusive, what is P (A or B), 0.70., A die is rolled. Are the events “rolling a prime number” and “rolling an odd number” mutually exclusive?, No. The number 3 and 5 are both prime and odd, so they can happen together., If two events are mutually exclusive, what is P(A n B)?, 0, because they cannot happen at the same time., A student chooses one fruit from a basket containing apples, bananas, and oranges. Are the events “choosing an apple” and “choosing a banana” mutually exclusive? Explain., Yes, because only one fruit can be chosen at a time..

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