Questions: Please calculate the probability of an AA BB cc phenotype from a cross of Aa Bb Cc x Aa Bb cc. Show your work.

To calculate the probability of obtaining an AA BB cc phenotype from the cross Aa Bb Cc x Aa Bb cc, we need to consider each gene pair separately and then combine the probabilities.

1. Gene A (Aa x Aa):

   • Possible genotypes: AA, Aa, aa
   • Probability of AA: 1/4

2. Gene B (Bb x Bb):

   • Possible genotypes: BB, Bb, bb
   • Probability of BB: 1/4

3. Gene C (Cc x cc):

   • Possible genotypes: Cc, cc
   • Probability of cc: 1/2

Now, we combine these probabilities to find the probability of the AA BB cc phenotype:

\[ \text{Probability of AA BB cc} = \left(\frac{1}{4}\right) \times \left(\frac{1}{4}\right) \times \left(\frac{1}{2}\right) = \frac{1}{32} \]

Therefore, the probability of obtaining an AA BB cc phenotype from this cross is \(\frac{1}{32}\).