The problem asks us to determine the potential genotypes of the parent plants given a partial Punnett square. The Punnett square shows two offspring with the genotype $Rr$. We need to figure out which parental genotypes could produce offspring with $Rr$ in the Punnett square.

Probability and StatisticsGeneticsPunnett SquareProbabilityBiology
2025/4/2

1. Problem Description

The problem asks us to determine the potential genotypes of the parent plants given a partial Punnett square. The Punnett square shows two offspring with the genotype RrRr. We need to figure out which parental genotypes could produce offspring with RrRr in the Punnett square.

2. Solution Steps

We will analyze each of the given options.
A) RR×RrRR \times Rr:
The possible offspring genotypes are RRRR, RRRR, RrRr, and RrRr. This cross will produce offspring with RrRr.
B) RR×rrRR \times rr:
The possible offspring genotypes are RrRr, RrRr, RrRr, and RrRr. This cross will produce offspring with RrRr.
C) Rr×rrRr \times rr:
The possible offspring genotypes are RrRr, RrRr, rrrr, and rrrr. This cross will produce offspring with RrRr.
D) rr×rrrr \times rr:
The possible offspring genotypes are rrrr, rrrr, rrrr, and rrrr. This cross will not produce offspring with RrRr.
From the given partial Punnett square, we only know that the offspring can be RrRr. From the options:
A) RR×RrRR \times Rr: This cross can produce offspring RrRr. But can also produce RRRR.
B) RR×rrRR \times rr: This cross only produces RrRr offspring. Therefore only RrRr can be in the partial Punnett square. However, the question asks for potential genotypes, therefore this option would not make sense.
C) Rr×rrRr \times rr: This cross can produce RrRr and rrrr offspring.
D) rr×rrrr \times rr: This cross only produces rrrr offspring, so this can't be it.
Looking at the given options and the partial Punnett square, option C (Rr×rrRr \times rr) is the most likely parental genotype since the offspring RrRr can be produced. The other option that produces offspring RrRr is RR×rrRR \times rr.
Since the question specifies a PARTIAL Punnett square showing offspring genotypes, we are looking for parental genotypes whose crosses yield offspring RrRr. Therefore, cross C is the answer. If we did cross A the square may yield RRRR but this isn't shown here so it cannot be a correct answer.

3. Final Answer

C) Rr x rr

Related problems in "Probability and Statistics"

A number is selected at random from the integers 30 to 48 inclusive. We want to find the probability...

ProbabilityPrime NumbersDivisibility
2025/6/3

The problem describes a survey where 30 people answered about their favorite book genres. The result...

PercentagesData InterpretationPie ChartFractions
2025/6/1

The problem asks us to determine if there is a statistically significant difference in promotion rat...

Hypothesis TestingChi-Square TestContingency TableStatistical SignificanceIndependence
2025/6/1

We are given a contingency table showing the number of students from different majors (Psychology, B...

Chi-Square TestContingency TableStatistical InferenceHypothesis Testing
2025/6/1

The problem describes a scenario where a pizza company wants to determine if the number of different...

Chi-Square TestGoodness-of-Fit TestHypothesis TestingFrequency DistributionP-value
2025/6/1

The problem asks to test the significance of three chi-square tests given the sample size $N$, numbe...

Chi-square testStatistical SignificanceDegrees of FreedomEffect SizeCramer's VHypothesis Testing
2025/5/29

The problem asks us to compute the expected frequencies for the given contingency table. The conting...

Contingency TableExpected FrequenciesChi-squared Test
2025/5/29

The problem asks us to estimate the chi-square value when $n=23$ and $p=99$, given a table of chi-sq...

Chi-square distributionStatistical estimationInterpolation
2025/5/27

The problem consists of several parts related to statistics and probability. We need to: A. Define s...

Sample Standard DeviationProbabilitySample SpaceConditional ProbabilityMutually Exclusive EventsIndependent EventsProbability of Events
2025/5/27

We are given a statistical series of two variables and the regression line equation $y = 9x + 0.6$. ...

RegressionMeanStatistical Series
2025/5/24