Question, state whether each pair of events is mutually exclusive or non-mutually exclusive and explain why.

Question

1. Question, state whether each pair of events is mutually exclusive or non-mutually exclusive and explain why.

a) Event A = Your birthday falling on a Saturday next year. Event B = Your birthday falling on a weekend next year.

b) Event A = Getting an A on the next test. Event B = Passing the next test.

c) Event A = Calm weather at noon tomorrow. Event B = Stormy weather at noon tomorrow.

d) Event A = Sunny weather next week. Event B = Rainy weather next week.

e) Event A = Randomly selecting a student with brown eyes. Event B = Randomly selecting a student on the honor roll.

Answer 1

a) A and B could happen together. They aren't mutually exclusive. Saturday is on a weekend

b) If you get an A, you pass. They can happen together. Not mutually exclusive

c) Calm and storm are mutually exclusive, for most people. You could be in the eye of a hurricane. It's calm, but it's very stormy weather in some sense.

d) sunny and rainy usually are mutually exclusive, but you have rainbows, you have rain with the sun shining. Sort of like Linus in the Peanuts comic strip, or one of those characters walking around with a rain cloud over his head but sunny at the same time.

e) not mutually exclusive some honor students may have brown eyes.

Answer 2

Mutually exclusive describes two or more events that cannot happen simultaneously.

So for example,



a) Event A can happen when Event B happens, so it is non-ME

b)non-ME

c) ME can't happen at the same time

d)ME can't happen at the same time

e)non-ME