The ovoid morph is determined by three loci, each with two possible alleles (say Aa, Bb, and Cc), and the A, B, and C loci are all located on different chromosomes. The ‘capital’ A, B, and C alleles all occur at a higher frequency than the alternate, lower case alleles a, b, and c. Recall that bacteria are haploid (they have only one genome copy, and thus carry only one allele). The bacteria display the ovoid morph when at least two of the three loci have ‘capital’ alleles (A, B, and C). The allele frequencies of the alternate alleles in a population of the bacteria are: a = 0.3, b = 0.4, c = 0.2. What is the probability that a single bacterium in that population will be an ovoid morph? Show all your work.
I know there is 1/2 chance of getting A or a, B or b, C or c, and the question says 2/3 will give us the ovoid morph, but how do I find the probability that the bacterium will be an ovoid morph? I am just confused on how to go about this with the information given.