Two true-breeding stocks of pea plants are crossed. One parent has red, axial flowers and the other has white, terminal flowers; all F1 individuals have red, axial flowers. If 1,000 F2 offspring resulted from the cross, approximately how many of them would you expect to have red, terminal flowers? (Assume independent assortment.)

A) 190
B) 250
C) 65
D) 750
E) 565

Respuesta :

Answer:

Approximately, 190.

Explanation:

cross between true breeding stock. let R represent the colour and Y represent the position of flower.

parents     RRYY    x      rryy

F1 gen.                RrYy

              RrYy    x     RrYy

F2 gen       RY         Ry        rY       ry

      RY     RYRY    RYRy    RYrY   RYry

      Ry     RYRy     RyRy    RyrY    Ryry

      rY     RYrY      RyrY     rYrY    rYry

      ry      RYry      Ryry      ryrY    ryry

number of red and axial flowers (RY__)  - 9

number of red and terminal flowers (Ry_y)  -  3

number of white and axial flowers (rYr_) -   3

number of white and terminal flowers (ryry) - 1

We are expected to find the number of red and terminal flowers out of 1,000 F2 offspring. Thus, we have 3/16 x 1000 = approximately 190

The number of the F2 generation that is expected to have red,terminal flowers is ( A ) ≈ 190

Given data :

One parent has red axial flowers = RY

One parent has white, terminal flowers = ry

where : Y = axial R = red color

y = terminal  r = white

Note : First generation ( F1 ) all have red, axial flowers ( i.e.  RrYy )

Determine the number of the F2 generation that has red,terminal flowers

F2 generation will be  :

                RrYy * RrYy  ( crossing of F1 generation )

                 RY         Ry        rY       ry

     RY     RYRY    RYRy    RYrY   RYry

     Ry     RYRy     RyRy    RyrY    Ryry

     rY     RYrY      RyrY     rYrY    rYry

     ry      RYry      Ryry      ryrY    ryry

From the Punnett square table above the number of F2 generation that has Red terminal flowers ( i.e. Ry-y )  =  3. Total outcome from the Punnett square table = 16.

F2 population = 1000

Therefore the number of the F2 generation that has red terminal flowers is = 3 / 16  * 1000

= 187.5   ≈ 190

Hence we can conclude that The number of the F2 generation that is expected to have red,terminal flowers is  ≈ 190.

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