
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Assume that a certain characteristic of a person (such as eye size) is determined by a pair of genes, denoted as d for the dominant gene and r for the recessive gene. Individuals with the dd genotype are pure dominant, those with the rr genotype are pure recessive, and those with the rd genotype are of mixed presentation. Both individuals who are pure dominant and those of mixed presentation show the characteristics determined by the dominant gene. A child receives one gene from each parent; it is assumed that both parents are of mixed presentation. Determine:
(1) What is the probability that a child will display the characteristic determined by the dominant gene?
(2) What is the probability that at least one of two children will display the characteristic determined by the dominant gene?

Present the answer in LaTex format: \boxed{Your answer}
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