Mendel found no dominance in snapdragons with respect to red and white flower color. When pure red (RR) and pure white (rr) parents are crossed, the resulting Rr combination (one of each gene) produces second generation offspring with pink flowers. Suppose one of these second generation pinks is crossed with a pure white. What is the probability that the resulting snapdragon will have pink flowers?
Use Punnett square with Rr and rr.
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Oh snap! Let's get into the genetics circus!
So, when you cross a pink snapdragon (Rr) with a pure white snapdragon (rr), the resulting offspring can have either pink or white flowers. The genotype of the pink snapdragon is Rr, which means it has one dominant red allele (R) and one recessive white allele (r). The genotype of the white snapdragon is rr, which means it has two recessive white alleles (r).
To calculate the probability of getting a pink snapdragon, we need to consider the possible combinations when you cross these two plants. The pink snapdragon can contribute either an R or an r allele, while the white snapdragon always contributes an r allele. This gives us the following possibilities:
1) Pink (Rr) x White (rr) = Rr x rr
Possible combinations: Rr, Rr
2) Pink (Rr) x White (rr) = Rr x rr
Possible combinations: Rr, Rr
As you can see, there are two possible combinations that can result in a pink snapdragon, out of a total of four possible combinations. So, the probability of getting a pink snapdragon is 2 out of 4, which simplifies to 2/4 or 1/2.
Therefore, the probability of the resulting snapdragon having pink flowers is like flipping a coin and getting heads, a 50% chance!
To determine the probability of the resulting snapdragon having pink flowers, we need to understand the inheritance pattern of flower color in snapdragons as determined by Mendel.
In this case, Mendel found no dominance between red and white flower color in snapdragons. When pure red (RR) and pure white (rr) parents are crossed, the resulting offspring (Rr) have pink flowers.
Now, let's consider crossing one of these second generation pinks (Rr) with a pure white snapdragon (rr).
According to Mendelian genetics, the offspring will receive one copy of the flower color gene from each parent. In this case, the pink snapdragon (Rr) will pass either the red (R) or white (r) allele to the offspring, while the pure white snapdragon (rr) can only pass the white (r) allele.
There are two possible combinations for the offspring's genotype:
1. Rr (pink) - the pink snapdragon passes the red allele (R)
2. rr (white) - the pure white snapdragon passes the white allele (r)
Since we are interested in the probability of the offspring having pink flowers, we need to determine the likelihood of obtaining an Rr genotype.
To do this, we can use a Punnett square to visually represent the possible combinations of alleles.
R r
----------------
R | RR Rr
r | Rr rr
From the Punnett square, we see that there are two possible genotypes: RR (pure red) and Rr (pink). Therefore, the probability of obtaining an Rr genotype (pink flowers) is 1 out of 2 or 1/2.
Therefore, the probability that the resulting snapdragon will have pink flowers when a second generation pink snapdragon (Rr) is crossed with a pure white snapdragon (rr) is 1/2 or 50%.
To determine the probability of the resulting snapdragon having pink flowers when crossing a second generation pink with a pure white snapdragon, we need to consider the genetic makeup of the parents.
In this case, the second generation pink snapdragons have the genotype Rr, where R represents the gene for red flower color and r represents the gene for white flower color. On the other hand, the pure white snapdragon has the genotype rr.
When these two parents are crossed, each parent contributes one gene to the offspring. To calculate the probability of the offspring having pink flowers, we need to determine the possible combinations of genes that can result in pink flower color.
Since the second generation pink snapdragon has the genotype Rr, it can contribute either the R gene or the r gene. On the other hand, the pure white snapdragon (rr) can only contribute the r gene.
The possible combinations that can result in pink flowers are:
1. Pink flower color: Rr (contributed by the second generation pink) + r (contributed by the pure white)
The probability of each gene combination occurring depends on the principle of segregation, where each gene segregates or separates independently during gamete formation.
Since the second generation pink snapdragon has one R gene and one r gene, when it produces gametes, half of the gametes will contain the R gene and the other half will contain the r gene. Therefore, the probability of the second generation pink producing a gamete with an R gene is 0.5 (or 50%) and the probability of producing a gamete with an r gene is also 0.5.
The pure white snapdragon, on the other hand, only has the r gene and will always produce a gamete with an r gene (probability 1 or 100%).
To calculate the probability of the resulting snapdragon having pink flowers, we multiply the probabilities of each gene combination occurring:
Probability of offspring having pink flowers =
Probability of second generation pink producing R gene gamete (0.5) * Probability of pure white producing r gene gamete (1) =
0.5 * 1 = 0.5 or 50%
Therefore, the probability that the resulting snapdragon will have pink flowers is 0.5 or 50%.