51. On the TV show The Price Is Right, the “Range Game” involves a contestant being told that the suggested retail price of a prize lies between two numbers that are $600 apart. The contestant has one chance to position a red window with a span of $150 that will contain the price. On one episode, the price of a piano is between $8900 and $9500. If we assume a uniform continuous distribution (i.e., that all prices within the $600 interval are equally likely), what is the probability that the contestant will be successful?