You are trying to breed and commercialize a new strain of the grain quinoa by combining several...

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You are trying to breed and commercialize a new strain of the grain quinoa by combining several traits that your marketing team tells you consumers will like (Purple, Vitamin-rich, Protein-rich and Tasty). You know of alleles of four genes as follows:  beige (B), purple (b) Vitamin-rich (N), vitamin-poor (n) Protein-rich (R), protein-poor (r) Tasty (T), bland (t) You breed together a true-breeding beige, vitamin-poor, protein-poor, tasty strain with a true-breeding purple, vitamin-rich, protein-rich, bland strain. The F1s are all beige, vitamin-rich, protein-rich and tasty. You self-cross these and examine the F2.   A. What fraction of the F2 progeny will produce purple, vitamin-rich, protein-rich, tasty quinoa? B. How many of the purple, vitamin-rich, protein-rich, tasty quinoa would you have to test to be 95% sure you have found at least one true breeding individual with those characteristics?

Robert · Accepted Answer

You are trying to breed and commercialize a new strain of the grain quinoa by combining several traits that your marketing team tells you consumers will like (Purple, Vitamin-rich, Protein-rich and Tasty). You know of alleles of four genes as follows: 
beige (B), purple (b)
Vitamin-rich (N), vitamin-poor (n)
Protein-rich (R), protein-poor (r)
Tasty (T), bland (t)
You breed together a true-breeding beige, vitamin-poor, protein-poor, tasty strain with a true-breeding purple, vitamin-rich, protein-rich, bland strain. The F1s are all beige, vitamin-rich, protein-rich and tasty. You self-cross these and examine the F2. 
A. What fraction of the F2 progeny will produce purple, vitamin-rich, protein-rich, tasty quinoa?
Ans. 
This is an example of tetrahybrid cross.

You are trying to breed and commercialize a new strain of the grain quinoa by combining several traits that your marketing team tells you consumers will like (Purple, Vitamin-rich, Protein-rich and...

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