Every year, the veterinary hospital at a major research university treats a numb

Question

Every year, the veterinary hospital at a major research university treats a number of horses that have stones called enteroliths in their guts. A sample of 20 years shown that on average about 2% of horses presenting at the veterinary are treated for enteroliths. Some breeds of horses seem more prone to developing enteroliths than others. Below is a table with the distribution of enteroliths among the breeds. The probability that a horse arriving at the veterinary hospital is not an Arabian or a quarter horse is: A. 0.55. B. 0.45. C. 0.25. D. 0.75.

Explanation / Answer

Since the sum of all the probabilities should be equal to 1.

So, 0.3+0.2+0.15+0.10+ ?= 1

Hence ?= 0.25 i.e. P(Quarter horse)= 0.25

Required probability= P( Horse arriving is not an Arabian or a Quarter horse )= 1- P( Horse arriving is an Arabian or a Quarter horse )= 1- (0.3+0.25) = 0.45

Hence 2nd option is correct.

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