Question

Which of the following events are NOT mutually exclusive?

A.	If you draw one card out of a deck, it could be a spade or a heart.

B. The chance that I watch the football game next Saturday and you watch the same football game.

C. Whether I bike the entire way from home to campus, or drive from home to campus.

D. If you take the Bar examination this year, you could either pass or fail the test.

Answer 1

mutually exclusive events : Events that can not happen together.

A) If you draw one card out of a deck, it could be a spade or a heart.

Drawing a spade or heart is mutually exclusive in case of drawing of only one card. One can not draw both.

B) The chance that I watch the football game next Saturday and you watch the same football game.

This is not an mutually exclusive event because two different people can watch same match on same day

C) Whether I bike the entire way from home to campus, or drive from home to campus.

This is mutually exclusive event because one person can not ride bike from home and to home at once.

D) If you take the Bar examination this year, you could either pass or fail the test.

Pass and fail of an exam of one person can not occur together. this is mutually exclusive event.

Which of the following events are NOT mutually exclusive?

B) The chance that I watch the football game next Saturday and you watch the same football game. is not mutually exclusive event