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MMLU-Pro / 7889 / Suppose that the alleles for eye color for a certain male fruit fly are (R,W)…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Suppose that the alleles for eye color for a certain male fruit fly are (R,W)(R, W) and the alleles for eye color for the mating female fruit fly are (R,W)(R, W), where RR and WW represent red and white, respectively. Their offspring receive one allele for eye color from each parent. Assume that each of the four possible outcomes has equal probability. If an offspring ends up with either two white alleles or one red and one white allele for eye color, its eyes will look white. Given that an offspring's eyes look white, what is the conditional probability that it has two white alleles for eye color?
Plain-text mathematical notation (without MathML)
Suppose that the alleles for eye color for a certain male fruit fly are (R,W) and the alleles for eye color for the mating female fruit fly are (R,W), where R and W represent red and white, respectively. Their offspring receive one allele for eye color from each parent. Assume that each of the four possible outcomes has equal probability. If an offspring ends up with either two white alleles or one red and one white allele for eye color, its eyes will look white. Given that an offspring's eyes look white, what is the conditional probability that it has two white alleles for eye color?
Original LaTeX notation
Suppose that the alleles for eye color for a certain male fruit fly are $(R, W)$ and the alleles for eye color for the mating female fruit fly are $(R, W)$, where $R$ and $W$ represent red and white, respectively. Their offspring receive one allele for eye color from each parent. Assume that each of the four possible outcomes has equal probability. If an offspring ends up with either two white alleles or one red and one white allele for eye color, its eyes will look white. Given that an offspring's eyes look white, what is the conditional probability that it has two white alleles for eye color?

category

math

options

  1. $\frac{1}{3}$
  2. $\frac{4}{5}$
  3. $\frac{1}{5}$
  4. $\frac{1}{4}$
  5. $\frac{2}{5}$
  6. $\frac{1}{2}$
  7. $\frac{3}{4}$
  8. $\frac{5}{6}$
  9. $\frac{3}{5}$
  10. $\frac{2}{3}$

src

scibench-stat

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Source and history

upstream_id / Original problem ID
7889
task_id
b9002a8c-89f2-5e54-b9c7-9664dbc0e9fc
task_key
default--test--7889
task_revision_id
1
config / split
default / test

Official source

initial import