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Multiple Choice
In a diploid set of chromosomes, one member of each pair of homologous chromosomes is derived from the father (paternal), and the other comes from the mother (maternal). If 2n = 6, what is the probability that a particular gamete will contain only paternal chromosomes?
A
1/4
B
1/16
C
1/32
D
The answer cannot be determined from these data.
E
1/8
Verified step by step guidance
1
Understand that in a diploid organism, each pair of homologous chromosomes consists of one chromosome from the father and one from the mother. The notation 2n = 6 indicates there are 6 chromosomes in total, or 3 pairs of homologous chromosomes.
Recognize that during gamete formation (meiosis), each gamete receives one chromosome from each pair of homologous chromosomes. Therefore, for each pair, there is a choice between the paternal chromosome and the maternal chromosome.
Calculate the probability of a gamete receiving only paternal chromosomes. Since there are 3 pairs of homologous chromosomes, and each pair has a 1/2 chance of contributing the paternal chromosome, the probability is calculated as \( \left( \frac{1}{2} \right)^3 \).
Express the probability calculation using MathML: .
Simplify the expression to find the probability: \( \frac{1}{8} \). This represents the chance that a gamete will contain only paternal chromosomes.