Renee has a bag of 6 candies, 4 of which are sweet and 2 of which are sour. Jack picks two candies simultaneously and at random. What is the chance that exactly 1 of the candies he has picked is sour?
Choose the correct choice from the following answers.
A) 3/5
B) 7/18
C) 8/15
D) 4/10
E) 5/12
Renee has a bag of 6 candies, 4 of which are sweet and 2 of which are sour.   Jack picks two candies simultaneously and at random. What is the chance   that exactly 1 of the candies he has picked is sour?   Here's what I did: I thought why not use combinatorics lol (too brave right? :roll: ). So I thought there are 6!/4!2! = 15 ways to pick 2 candies out of the 6.   I need exactly 1 sour so the chance of getting exactly 2 sour was 4/15. 1-4/15 = 11/15. This was SOOO WRONG !!   Here's the answer:   2/6 x 4/5 = 8/30 (sour fist and then sweet)   2/6 x 4/5 = 8/30 (sweet fist and then sour)   8/30 + 8/30 = 16/30 = 8/15.   8/15 is the answer
<result>C</result>
Renee has a bag of 6 candies, 4 of which are sweet and 2 of which are sour. Jack picks two candies simultaneously and at random. What is the chance that exactly 1 of the candies he has picked is sour?