Answered

Discover new information and get your questions answered with IDNLearn.com. Our platform is designed to provide reliable and thorough answers to all your questions, no matter the topic.

In pea plants, the allele for tall plants (T) is dominant over the allele for short plants (t). The allele for purple flowers (P) is dominant over the allele for white flowers (p). Two plants that are heterozygous for both traits are crossed, as shown in the Punnett square.

[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline & TP & Tp & tP & tp \\
\hline TP & TTPP & TTPp & TtPP & TtPp \\
\hline Tp & TTPp & TTpp & TtPp & Ttpp \\
\hline tP & TtPP & TtPp & ttPP & ttPp \\
\hline tp & TtPp & Ttpp & ttPp & ttpp \\
\hline
\end{array}
\][/tex]

What is the probability of an offspring being short and having white flowers?

A. [tex]\(\frac{9}{16}\)[/tex]

B. [tex]\(\frac{1}{16}\)[/tex]

Sagot :

GinnyAnsweridn
To determine the probability of an offspring being short with white flowers when two heterozygous pea plants (TtPp) are crossed, we need to examine the Punnett square provided.

Here's the Punnett square directly from the cross of TtPp x TtPp:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline & TP & Tp & tP & tp \\ \hline TP & TTPP & TTPp & TtPP & TtPp \\ \hline Tp & TTPp & TTpp & TtPp & Ttpp \\ \hline tP & TtPP & TtPp & ttPP & ttPp \\ \hline tp & TtPp & Ttpp & ttPp & ttpp \\ \hline \end{array} \][/tex]

Let's analyze each Lattice of the Punnett square to find those that result in short plants with white flowers (ttpp):

- TTPP (Tall, Purple)
- TTPp (Tall, Purple)
- TtPP (Tall, Purple)
- TtPp (Tall, Purple)
- TTPp (Tall, Purple)
- TTpp (Tall, White)
- TtPp (Tall, Purple)
- Ttpp (Tall, White)
- TtPP (Tall, Purple)
- TtPp (Tall, Purple)
- ttPP (Short, Purple)
- ttPp (Short, Purple)
- TtPp (Tall, Purple)
- Ttpp (Tall, White)
- ttPp (Short, Purple)
- ttpp (Short, White)

From the analysis, only the combination ttpp results in short plants with white flowers. There is only 1 cell (ttpp) fitting this description.

Next, determine the total possible genotypes in the Punnett square, which is the sum total of all possible cells: [tex]\(16\)[/tex] cells.

To find the probability of getting an offspring genotype that is short and has white flowers, divide the number of favorable outcomes by the total possible outcomes:
[tex]\[ \text{Probability} = \frac{1 \text{ (ttpp) favorable outcome}}{16 \text{ (total possible outcomes)}} = \frac{1}{16} \][/tex]

Therefore, the probability of an offspring being short and having white flowers is:

\[
\boxed{\frac{1}{16}}
\
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com. We’re here to provide reliable answers, so please visit us again for more solutions.