Suppose that the alleles for eye color for a certain male fruit fly are (R, W) a

Question

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. (a) Define the sample space of the alleles for eye color for the offspring. (b) 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?

Explanation / Answer

(a) sample space=(RR, RW, WR, WW)

(b) off spring end with these pair WW, RW, WR will have white eyes

so P(white eyes)=P(WW or RW orWR)=3/4

P(WW)=1/4

we want P(WW|white eyes)=P[(white eyes ) and (WW)]/P(white eyes)

=P[(WW or WR or RW) and (WW)]/P(WW or RW or WR)=P(WW)/P(WW or RW or WR)=((1/4)/(3/4)=1/3

required probability=1/3

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.