A check of dorm rooms on a large college campus revealed that 34% had refrigerat

Question

A check of dorm rooms on a large college campus revealed that 34% had refrigerators, 60% had TVs, and 21% had both a refrigerator and a TV. What's the probability that a randomly selected dorm room has

a) a refrigerator but no TV?

b) a refrigerator or a TV, but not both?

c) neither a refrigerator nor a TV?

a) The probability of having a refrigerator but no TV is___?

b) The probability of having a refrigerator or a TV but not both is ___?

c) The probability of having neither a refrigerator nor a TV is____?

A check of dorm rooms on a large college campus revealed that 34% had refrigerators, 60% had TVs, and 21% had both a refrigerator and a TV. What's the probability that a randomly selected dorm room has

a) a refrigerator but no TV?

b) a refrigerator or a TV, but not both?

c) neither a refrigerator nor a TV?

Explanation / Answer

HERE WE HAVE 21% ROOMS WITH BOTH REFRIGERATOR AND THE TV

60% HAVE TV, BUT 60-21 = 39% HAVE ONLY TV

SIMILARLY 34% HAVE REFRIGERATOR BUR 34-21 = 13% HAVE ONLY REFRIGERATOR

34%+60% = 94% HAVE EITHER TV , REFRIGERATOR OR BOTH

THAT MEEAN 100%-94% = 6% DO NOT HAVE ANY

A) HAVING REFRIGETOR BT NO TV = COUNT ONLY REFRIGERATOR ROOMS = 13% PROBABILITY = 0.13

B) A REFRIGERATOR OR TV BT NOT BOTH = COUNT ROOMS WHICH INCLUDE ONLY TV AND ONLY REFRIGERATOR = 13%+39% = 52% = 0.52

C) NEITHER TV NOR REFRIGERATOR = 6% = 0.06

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