John borrowed 3 soccer boots from Jake, and forgot them on the field, if peter came across a total of 15 boots on the field Jake's boots inclusive, and he took 4 boots at random, what is the probability that Jake's boots were not amongst the 4 taken?.	Choices:
A) 12/91 B) 3/15 C) 12/15 D) 33/91 E) 3/91
Since Jake owns 3 of the boots, the subset from which the 4 boots should be chosen are the 12 boots not owned by Jake from the universe of 15.   The first boot can be one of the 12 from the 15 with probability 12/15.   The second boot can be one of the 11 from the 14 remaining with probability 11/14.   The third boot can be one of the 10 from the 13 remaining with probability 10/13.   The fourth boot can be one of the 9 from the 12 remaining with probability 9/12.   The total probability will be 12/15 × 11/14 × 10/13 × 9/12 . On cancellation, this comes to 33/91.   Thus, the answer is 33/91 - 33/91
<result>D</result>
John borrowed 3 soccer boots from Jake, and forgot them on the field, if peter came across a total of 15 boots on the field Jake's boots inclusive, and he took 4 boots at random, what is the probability that Jake's boots were not amongst the 4 taken?.