A bag contains 15 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf? Options:	A) 2/35	B) 1/15	C) 6/35	D) 13/70	E) 1/5
We have 15 scarves: 1 red, 1 green and 13 other. We're asked for the probability of grabbing 3 scarves that include the 1 red but NOT the 1 green scarf.   Even though the question states that we are supposed to grab all 3 scarves simultaneously, we can still refer to them as 1st, 2nd and 3rd. There are 3 ways to get what we *want*   R = Red   O = Other   ROO   ORO   OOR   The probability of getting ROO = (1/15)(13/14)(12/13) = 2/35   The probability of getting ORO = (13/15)(1/14)(12/13) = 2/35   The probability of getting OOR = (13/15)(12/14)(1/13) = 2/35   Total ways = 2/35 + 2/35 + 2/35 = 6/35   ANSWER:6/35
<result>C</result>
A bag contains 15 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf?