A certain bag of gemstones is composed of two-thirds diamonds and one-third rubies. If the probability of randomly selecting two diamonds from the bag, without replacement, is 5/12, what is the probability of selecting two rubies from the bag, without replacement?
Choose the correct choice from the following
A) 5/36 B) 5/24 C) 1/12 D) 1/6 E) 1/4
2/3 * (2X-1) / (3X-1) = 5/ 12 =&gt; X = 3   So total gems = 9   and probability of ruby = 1/3 * 2/8 = 1/12   answer 1/12 1/12
<result>C</result>
A certain bag of gemstones is composed of two-thirds diamonds and one-third rubies. If the probability of randomly selecting two diamonds from the bag, without replacement, is 5/12, what is the probability of selecting two rubies from the bag, without replacement?