Question 1031555: A player draws one card from a special deck of 27 playing cards shown here. The deck, which is thoroughly shuffled, consists of 9 cards numbered one (1) through nine (9) that are printed in green ink, 9 cards numbered one (1) through nine (9) that are printed in blue ink, and 9 cards numbered one (1) through nine (9) that are printed in red ink.
The two events, "a card with a green number on it" and "a number greater than 7" are
A Independent but not mutually exclusive events
B Mutually exclusive but not independent events
C Independent and mutually exclusive events
D Neither independent nor mutually exclusive events
E Impossible to determine if they are mutually exclusive or independent events because of insufficient information given
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Kind of a stretch to call drawing one card "two events". But you can eliminate answer B and C immediately. Mutually exclusive clearly doesn't apply since a green 8 and a green 9 exist. If "green" and ">7" were mutually exclusive, they couldn't both happen, yet there is a 2 in 27 chance that it can occur.
The events are independent because, for example, choosing a green card does not alter the probability of choosing an 8 or a 9. And choosing an 8 or a 9 doesn't alter the probability of choosing green.
John
My calculator said it, I believe it, that settles it
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