The

Zagat Restaurant Survey provides food, decor, and service ratings for some of

the top

restaurants

across the United States. For 15 restaurants located in Boston, the average

price

of a

dinner, including one drink and tip, was $48.60. You are leaving for a business

trip to

Boston

and will eat dinner at three of these restaurants. Your company will reimburse

you

for a

maximum of $50 per dinner. Business associates familiar with these restaurants

have

told

you that the meal cost at one-third of these restaurants will exceed $50.

Suppose that

you

randomly select three of these restaurants for dinner.

What

is the probability that none of the meals will exceed the cost covered by your

company?