<p>OK so I have this SAT-like question and would be super happy if you helped me.</p>
<p>The maker of a popular chocolate candy that is covered in a thin colored
shell has released information about the overall color proportions
in its production of the candy, which is summarized in the following
table.
Color and Proportion : Brown is .3 Red is .2 Yellow is .2 Green is .1 Orange is .1 and tan is .1 </p>
<p>A peanut version of the same candy has all the same colors except tan.
The proportions of the peanut version are given in the following table.
Color and proportion: Brown is .3 Red is .2 Yellow is .2 Green is .2 Orange is .1</p>
<p>What is the probability that the two
candies have the given colors?</p>
<p>One is red, and the other is green.</p>
<p>I think the answer is .04 but it says is .08.</p>
<p>Does the question specify that one of the two candies is plain and the other is peanut? Or could both be plain or both peanut?</p>
<p>I don’t know :(</p>
<p>That is all the info given to me and it is killing me.</p>
<p>There isn’t enough information regarding the selection process and the relative number of C and P candies to solve this problem.</p>
<p>If the C and Ps are in separate bowls and you first select a C and then a P (or conversely) then the probability that C is red and P is green is: .04, and the probability that C is green and P is red is .02, so the sum is .06.</p>
<p>If the process is based on the assumption that the C and Ps are mixed together, and that you select 2 at random, you really need to know the relative number of C and P. If we assume that the number is equal, then you also need to consider selecting 2 Cs (one R the other G), or 2 Ps (one R and the other G), in addition to one each.</p>
<p>So the probability of a red C and a green C is .25 x.2 x.1 + .25 x .1 x .2 = .01.
The probability of a red P and a green P is .25 x .2 x .2 + .25 x .2 x .2 = .02.
The probability of a red C and a green P is .25 x .2 x .2 + .25 x .2 x .2 = .02.
The probability of a green C and a red P is .25 x .1 x .2 + .25 x .2 x .1 = .01
That’s .06.</p>
<p>DancinggBear, is there additional information given in a previous question or in the question header? I agree with fogcity about the answer subject to various assumptions. But the question exactly as posed really cannot be answered without some additional information.</p>