given the following genotypes GgWwTt and GgWWtt. what is the probability of producing an offspring with the following genotype? How do i solve this problem?
To determine the probability of producing a specific genotype, in this case, let's say GgWwTt, we need to understand the principles of Mendelian genetics and use Punnett squares.
Step 1: Write down the genotypes of the parents.
- Parent 1: GgWwTt
- Parent 2: GgWWtt
Step 2: Identify the possible genotypes produced by each parent. Remember that for each gene, an individual inherits one allele from one parent and the other allele from the other parent.
- Parent 1 possible gametes: G, g, W, w, T, t
- Parent 2 possible gametes: G, g, W, W, t, t
Step 3: Construct a Punnett square. Place the possible gametes of Parent 1 across the top and the possible gametes of Parent 2 down the side.
G g W W t t
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G | GG | Gg | GW | GW | Gt | Gt |
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g | Gg | gg | Gr | Gr | Gt | Gt |
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W | GW | Gr | WW | Ww | Wt | Wt |
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w | Gr | Gr | Ww | ww | Wt | Wt |
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T | Gt | Gt | Wt | Wt | Tt | Tt |
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t | Gt | Gt | Wt | Wt | Tt | Tt |
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Step 4: Count the number of desired genotypes in the resulting Punnett square. In this case, count how many offspring have the genotype GgWwTt. From the Punnett square, we see that there are 2 offspring with this genotype.
Step 5: Determine the total number of possible offspring. In the Punnett square, there are 36 possible combinations (6 rows × 6 columns).
Step 6: Calculate the probability. Divide the number of desired genotypes by the total number of possible offspring and multiply by 100 to express it as a percentage.
- Probability = (Number of desired genotypes / Total number of possible offspring) × 100
= (2 / 36) × 100
= 5.56%
Therefore, the probability of producing an offspring with the genotype GgWwTt from the given genotypes is approximately 5.56%.