If b is the trait for brown eyes and b is the trait for blue, and a homozygous dominant dad and a homozygous recessive mom have off-spring. how many of the f1 generation will be bb?

Zero of the offspring will be bb.  Since each offspring receives one allele from each parent, all will receive a B from Dad and a b from Mom, making all of the offspring heterozygous (Bb) and brown-eyed.

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