Harrison Water Sports has three retail outlets: Seattle, Portland, and Phoenix.

Question

Harrison Water Sports has three retail outlets: Seattle, Portland, and Phoenix. The Seattle store does 50 percent of the total sales in a year, while the Portland store does 35 percent of the total sales. Further analysis indicates that of the sales in Seattle, 20 percent are in boat accessories. The percentage of boat accessories at the Portland store is 30 and the percentage at the Phoenix store is 25. If a sales dollar is recorded as a boat accessory, the probability that the sale was made at the Portland store is:

Slightly greater than 0.43

.35

.2425

None of the above

Slightly greater than 0.43

.35

.2425

None of the above

Explanation / Answer

probability that the sale was made at the Portland store is = (prob of boat acessories sale in portland * prob of sale in portland store) / (probability of boat accesories sale)

                         = ( 0.3 * 0.35) / ( 0.2 * 0.5 + 0.3 * 0.35 + 0.25 * 0.15)

                         = 0.43298

So , the answer is OPTION- A , Slightly greater than 0.43

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