Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Why does Tt occur [tex]$50\%$[/tex] of the time?

A. [tex]$4 \times 0.125 = 0.5$[/tex]
B. [tex]$0.25 + 0.25 = 0.5$[/tex]
C. [tex]$50\% \times 1 = 50\%$[/tex]

Sagot :

GinnyAnswer
Sure, let's go through a detailed, step-by-step solution to understand why the genotype Tt occurs 50% of the time.

### Step-by-Step Solution:

1. Define Probabilities of Each Allele:
- Probability of allele T is [tex]\( P(T) = 0.5 \)[/tex]
- Probability of allele t is [tex]\( P(t) = 0.5 \)[/tex]

2. Determine All Possible Combinations:
When an organism has two alleles, there are four possible combinations:
- TT (both alleles are T)
- Tt (one allele is T, one allele is t)
- tT (one allele is t, one allele is T - this is essentially the same as Tt)
- tt (both alleles are t)

3. Calculate the Probability of Each Combination:
- Probability of genotype TT: [tex]\( P(TT) = P(T) \times P(T) = 0.5 \times 0.5 = 0.25 \)[/tex]
- Probability of genotype Tt: [tex]\( P(Tt) = P(T) \times P(t) = 0.5 \times 0.5 = 0.25 \)[/tex]
- Probability of genotype tT: [tex]\( P(tT) = P(t) \times P(T) = 0.5 \times 0.5 = 0.25 \)[/tex]
- Probability of genotype tt: [tex]\( P(tt) = P(t) \times P(t) = 0.5 \times 0.5 = 0.25 \)[/tex]

4. Combine the Probabilities of Heterozygous Combination (Tt and tT):
Since the heterozygous genotype Tt can occur in two ways (Tt or tT):
- [tex]\( P(Tt) + P(tT) = 0.25 + 0.25 = 0.5 \)[/tex]

5. Conclusion:
Therefore, the genotype Tt occurs 50% of the time because the combined probability of the two different ways to form Tt (Tt and tT) is 0.25 + 0.25 = 0.5, or 50%.

These probabilities add up correctly:
- TT: 0.25 (25%)
- Tt: 0.25 (25%)
- tT: 0.25 (25%)
- tt: 0.25 (25%)
The total probability is [tex]\( 0.25 + 0.25 + 0.25 + 0.25 = 1 \)[/tex] or 100% which reassures that our calculations are accurate.

Therefore, the Tt genotype occurs 50% of the time.
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.