Step 1 :The possible combinations of alleles that the child could inherit from the parents are green/green, green/blue, blue/green, and blue/blue. These combinations are equally likely.
Step 2 :To find the probability of each outcome, we need to count the number of ways each outcome can occur and divide by the total number of outcomes. The total number of outcomes is 4.
Step 3 :The probabilities of the child inheriting each possible combination of alleles are all equal at 0.25. This means that the probability of the child having the blue/blue genotype is \(\boxed{0.25}\).
Step 4 :However, the child will have green eyes if they inherit at least one green allele. This can occur in three out of the four possible outcomes: green/green, green/blue, and blue/green. Therefore, the probability of the child having green eyes is \(\boxed{0.75}\).