Confused with gamete sorting problem
Since there are 2 alleles of each gene and 3 different genes, 2EE3 = 8? Let's test this by making a table, for 1 gene there are two different kinds of gametes, so 2EE1 = 2, for 2 genes there are 4 different kinds of gametes (AB, Ab, aB, ab) so 2EE2 = 4, and you already did the calculation yourself for 3 genes, and 2EE3 =  8. 


Why don't you try working it out yourself for 4 genes and see if you come up with 16 different kinds of gametes?


Two words: Punnett Square. In this case for a trihybrid cross:





That is a Bernoulli coin-flipping probability. If you are flipping a true coin three times in a row, how often will you get three heads in a row? 1/8? All the events are independent, right? what about the Punnett square? Does it give the same result somehow?


Here is the answer worked out for you.