To determine the chance that the offspring will be black with short ears from a cross between two rabbits that are heterozygous (WwEe) for both traits, we can use the quick method by setting up two separate monohybrid crosses.
Step 1: Determine the chances for each trait.
-
Fur Color (Ww):
- W (white) is dominant to w (black).
- Possible gametes: W or w.
- The offspring's genotypes in a Ww x Ww cross would be:
- WW (white): 1/4
- Ww (white): 2/4
- ww (black): 1/4
- Probability of black fur (ww): 1/4
-
Ear Length (Ee):
- E (long) is dominant to e (short).
- Possible gametes: E or e.
- The offspring's genotypes in an Ee x Ee cross would be:
- EE (long): 1/4
- Ee (long): 2/4
- ee (short): 1/4
- Probability of short ears (ee): 1/4
Step 2: Calculate the probability of both traits occurring simultaneously.
Now we multiply the probabilities of getting black fur and short ears:
\[ \text{Probability (black fur and short ears)} = \text{Probability (ww)} \times \text{Probability (ee)} = \left(\frac{1}{4}\right) \times \left(\frac{1}{4}\right) = \frac{1}{16} \]
Conclusion
The chance that the offspring will be black with short ears is:
a) 1/16
Therefore, the correct answer is a) 1/16.