b. Let us assume that orange and yellow are alleles of gene A with orange as the dominant color.
Cross 1
Parent
A/A X a/a
F1
A/a
F2
3 A/-
1 a/a
Cross 2
Assume that red is dominant over orange, which is again dominant over yellow and let the alleles be
Red AR
Orange AO
Yellow AY
Crosses 1-3 becomes
A O /A O X AY/AY AR/AR X AO/AO AR/AR X AY/AY
F1
A O /A Y A R /A O A R /A Y
F2
3 AO/-: 1 AY/AY 3AR/-: 1AO/AO 3 AR/-:1 AY/AY
Cross 4
To perform this cross a second gene has to be added. Thus accordingly the characters of the above cross would be rewritten. If B allows color and block the expression of b then a white color would be produced.
Parent
A O /A O ; B/B X AY/AY; B/B
F1
A O /A Y ; B/B
F2
3 AO/-; B/B: 1 AY/AY; B/B
Parent
A R /A R ; B/B X AO/AO; B/B
F1
A R /A O ; B/B
F2
3 AR/-; B/B: 1 AO/AO; B/B
Parent
A R /A R ; B/B X AY/AY; B/B
F1
A R /A Y ; B/B
F2
3 AR/-: 1 AY/AY; B/B
The fourth cross is
Parent
A R /A R ; B/B X AR/AR; b/b
F1
A R /A R ; B/b
F2
3 AR/AR; B/-: 1 AR/AR; b/b
Cross 5
Note that there is no orange appearing. Hence, two parents should carry the alleles for red and yellow and the expression of red would be blocked
Parent
A Y /A Y ; B/B X AR/AR; b/b
F1
A R /A Y ; B/b
F2
9 AR/-; B/- red
3 AR/-; b/b white
3 AY/AY; B/- yellow
1 AY/AY; b/b white
Cross 6
Parent
A O /A O ; B/B X AR/AR; b/b
F1
A R /A O ; B/b
F2
9 AR/-; B/- red
3 AR/-; b/b white
3 AO/AO; B/- orange
1 AO/AO; b/b white
Cross 7
Yellow is suppressed by b/b
Parent
A R /A R ; B/B X AY/AY; b/b
F1
A R /A Y ; B/b
F2
9 AR/-; B/- red
3 AR/-; b/b white
3 AY/AY; B/- yellow
1 AY/AY; b/b white