In a Mendel's dihybrid experiment, a homozygous pea plant with round yellow seeds was crossed with a homozygous plant with wrinkled green seeds. F\(_1\) intercross produced 560 F\(_2\) progeny. The number of F\(_2\) progeny having both dominant traits (round and yellow) is \(\underline{\hspace{1cm}}\).
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A classic Mendelian dihybrid cross always yields a 9:3:3:1 phenotypic ratio.
In a dihybrid cross, the F\(_2\) phenotypic ratio is:
\[
9 : 3 : 3 : 1
\]
The fraction showing both dominant traits (round and yellow) is \( \frac{9}{16} \).
Thus, number of round yellow progeny:
\[
\frac{9}{16} \times 560 = 315
\]
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