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A heterozygote tall plant (Tt) is crossed with homozygous dwarf plant (tt). The resultant seed were collected. If four seeds are choosen randomly, the probability that one of them is exactly dwarf plant is _______(Round off to two decimal places)
Correct answer is '0.25'. Can you explain this answer?
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A heterozygote tall plant (Tt) is crossed with homozygous dwarf plant ...
The probability of tall plant (Tt) is ½ and dwarf plant (tt) is ½ in the F1. So, selecting four plants randomly, the probability of getting exactly one dwarf plant and three tall plant can be calculated by the formulae
Here,
Total no. of events (n) = 4
Probability of tall plant (a) = 1/2
Probability of dwarf plant (b) = 1/2
No. of times the event ‘tall’ occurs (x) = 3
No. of times the event ‘dwarf’ occurs (n-x) = 1
Probability (p) = n!/ (x! n-x!) X (a)X (b) n-x
= 4!/ (3! 1!) X (1/2)3. (1/2)1
= ¼ or 0.25
Here,
Total no. of events (n) = 4
Probability of tall plant (a) = 1/2
Probability of dwarf plant (b) = 1/2
No. of times the event ‘tall’ occurs (x) = 3
No. of times the event ‘dwarf’ occurs (n-x) = 1
Probability (p) = n!/ (x! n-x!) X (a)X (b) n-x
= 4!/ (3! 1!) X (1/2)3. (1/2)1
= ¼ or 0.25
Most Upvoted Answer
A heterozygote tall plant (Tt) is crossed with homozygous dwarf plant ...
Explanation:
To solve this problem, we need to understand the principles of genetics and probability. Let's break down the steps to find the probability that one of the randomly chosen seeds is a dwarf plant.
Step 1: Determine the possible genotypes of the offspring seeds.
- The tall plant (Tt) is heterozygous, meaning it carries one dominant allele (T) for tallness and one recessive allele (t) for dwarfness.
- The dwarf plant (tt) is homozygous, meaning it carries two recessive alleles (t) for dwarfness.
- When these two plants are crossed, the possible genotypes of the offspring seeds are Tt and tt.
Step 2: Calculate the probability of each genotype.
- The probability of getting a Tt genotype is 1/2 because the tall plant (Tt) can pass on either the dominant allele (T) or the recessive allele (t).
- The probability of getting a tt genotype is 1/2 because the dwarf plant (tt) can only pass on the recessive allele (t).
Step 3: Calculate the probability of getting exactly one dwarf plant.
To calculate the probability of getting exactly one dwarf plant, we need to consider the different scenarios in which this can occur:
- Out of the four randomly chosen seeds, one could be a dwarf plant (tt) and the other three could be tall plants (Tt). The probability of this scenario is (1/2) * (1/2)^3 = 1/16.
- However, there are four different positions in which the dwarf plant can occur within the four seeds. So, we need to multiply the probability by 4.
- Therefore, the probability of getting exactly one dwarf plant is 4 * (1/16) = 1/4 = 0.25.
Conclusion:
The probability that one of the four randomly chosen seeds is exactly a dwarf plant is 0.25 or 25%. This means that, on average, if we randomly select four seeds from this cross, one of them will be a dwarf plant.
To solve this problem, we need to understand the principles of genetics and probability. Let's break down the steps to find the probability that one of the randomly chosen seeds is a dwarf plant.
Step 1: Determine the possible genotypes of the offspring seeds.
- The tall plant (Tt) is heterozygous, meaning it carries one dominant allele (T) for tallness and one recessive allele (t) for dwarfness.
- The dwarf plant (tt) is homozygous, meaning it carries two recessive alleles (t) for dwarfness.
- When these two plants are crossed, the possible genotypes of the offspring seeds are Tt and tt.
Step 2: Calculate the probability of each genotype.
- The probability of getting a Tt genotype is 1/2 because the tall plant (Tt) can pass on either the dominant allele (T) or the recessive allele (t).
- The probability of getting a tt genotype is 1/2 because the dwarf plant (tt) can only pass on the recessive allele (t).
Step 3: Calculate the probability of getting exactly one dwarf plant.
To calculate the probability of getting exactly one dwarf plant, we need to consider the different scenarios in which this can occur:
- Out of the four randomly chosen seeds, one could be a dwarf plant (tt) and the other three could be tall plants (Tt). The probability of this scenario is (1/2) * (1/2)^3 = 1/16.
- However, there are four different positions in which the dwarf plant can occur within the four seeds. So, we need to multiply the probability by 4.
- Therefore, the probability of getting exactly one dwarf plant is 4 * (1/16) = 1/4 = 0.25.
Conclusion:
The probability that one of the four randomly chosen seeds is exactly a dwarf plant is 0.25 or 25%. This means that, on average, if we randomly select four seeds from this cross, one of them will be a dwarf plant.
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A heterozygote tall plant (Tt) is crossed with homozygous dwarf plant (tt). The resultant seed were collected. If four seeds are choosen randomly, the probability that one of them is exactly dwarf plant is _______(Round off to two decimal places)Correct answer is '0.25'. Can you explain this answer?
Question Description
A heterozygote tall plant (Tt) is crossed with homozygous dwarf plant (tt). The resultant seed were collected. If four seeds are choosen randomly, the probability that one of them is exactly dwarf plant is _______(Round off to two decimal places)Correct answer is '0.25'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about A heterozygote tall plant (Tt) is crossed with homozygous dwarf plant (tt). The resultant seed were collected. If four seeds are choosen randomly, the probability that one of them is exactly dwarf plant is _______(Round off to two decimal places)Correct answer is '0.25'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A heterozygote tall plant (Tt) is crossed with homozygous dwarf plant (tt). The resultant seed were collected. If four seeds are choosen randomly, the probability that one of them is exactly dwarf plant is _______(Round off to two decimal places)Correct answer is '0.25'. Can you explain this answer?.
A heterozygote tall plant (Tt) is crossed with homozygous dwarf plant (tt). The resultant seed were collected. If four seeds are choosen randomly, the probability that one of them is exactly dwarf plant is _______(Round off to two decimal places)Correct answer is '0.25'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about A heterozygote tall plant (Tt) is crossed with homozygous dwarf plant (tt). The resultant seed were collected. If four seeds are choosen randomly, the probability that one of them is exactly dwarf plant is _______(Round off to two decimal places)Correct answer is '0.25'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A heterozygote tall plant (Tt) is crossed with homozygous dwarf plant (tt). The resultant seed were collected. If four seeds are choosen randomly, the probability that one of them is exactly dwarf plant is _______(Round off to two decimal places)Correct answer is '0.25'. Can you explain this answer?.
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A heterozygote tall plant (Tt) is crossed with homozygous dwarf plant (tt). The resultant seed were collected. If four seeds are choosen randomly, the probability that one of them is exactly dwarf plant is _______(Round off to two decimal places)Correct answer is '0.25'. Can you explain this answer?, a detailed solution for A heterozygote tall plant (Tt) is crossed with homozygous dwarf plant (tt). The resultant seed were collected. If four seeds are choosen randomly, the probability that one of them is exactly dwarf plant is _______(Round off to two decimal places)Correct answer is '0.25'. Can you explain this answer? has been provided alongside types of A heterozygote tall plant (Tt) is crossed with homozygous dwarf plant (tt). The resultant seed were collected. If four seeds are choosen randomly, the probability that one of them is exactly dwarf plant is _______(Round off to two decimal places)Correct answer is '0.25'. Can you explain this answer? theory, EduRev gives you an
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