Answer:
To answer this question, we will use the product law of probability. According to this law, the probability of two independent events occurring together is obtained by multiplying the individual probabilities of each event. For each genotype, we will determine the probability of obtaining the required alleles and then multiply these probabilities together.
1) The genotype aaBbCC can only be produced if the parent AaBbCc passes on the a and B alleles, and the parent aaBbCc passes on the a and C alleles. The probability of the first event occurring is 1/2, as the parent AaBbCc has a 1/2 chance of passing on the a allele and a 1/2 chance of passing on the B allele, which are independent events. The probability of the second event occurring is also 1/2, as the parent aaBbCc has a 1/2 chance of passing on the a allele and a 1/2 chance of passing on the C allele. Therefore, the probability of producing an aaBbCC offspring is:
(1/2) x (1/2) = 1/4 or 0.25 (25%)
2) The genotype A_bbC_ can only be produced if the parent AaBbCc passes on the B and C alleles, and the other parent passes on a b and c allele. The probability of the first event occurring is 1/4, as the parent AaBbCc has a 1/2 chance of passing on the B allele and a 1/2 chance of passing on the C allele, which are independent events. The probability of the second event occurring is 1/4, as the parent aaBbCc has a 1/2 chance of passing on the b allele and a 1/2 chance of passing on the c allele. Therefore, the probability of producing an A_bbC_ offspring is:
(1/4) x (1/4) = 1/16 or 0.0625 (6.25%)
3) The genotype AAB_Cc can only be produced if both parents pass on the A, B, and C alleles. The probability of the first event occurring is 1/4, as the parent AaBbCc has a 1/2 chance of passing on the A allele and a 1/2 chance of passing on the B allele, which are independent events. The probability of the second event occurring is also 1
Step-by-step explanation: