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aniked [119]
2 years ago
8

kmf Of the 40 specimens of bacteria in a dish,3 specimens have a certain trait. If 5 specimens are to be selected from the dish

at random and without replacement, which of the following represents the probability that only 1 of the 5 specimens selected will have the trait?
Biology
1 answer:
almond37 [142]2 years ago
7 0

Answer:

\frac{C^{3}_1* C^{47}_4}{C^{40}_5}

Explanation:

It is given that out of 40, total 5 specimen are selected.

Thus, the number of ways in which 5 specimens are selected from a given sample of 40 is given by

C^{40}_{5}\\

Number of specimen with certain trait is equal to 3.

Now, total 5 specimen are selected out of which one specimen is selected from the set of specimen that has certain trait (i.e out of 3) while the remaining four specimen will be selected from the rest 40-3=37 specimen.

Thus, the probability of choosing only 1 of the 5 specimens with the trait is equal to

\frac{C^{3}_1* C^{37}_4}{C^{40}_5}

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Answer:

See the answer below

Explanation:

Let the disorder be represented by the allele a.

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                    Aa     x     Aa

Progeny:    AA    2Aa    aa

Probability of being affected = 1/4

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Probability of not being affected = 3/4

(a) The chance that the child second child of Mary and Frank will have alkaptonuria = 1/2

(b) The chance that  the third child of Sara and James will be free of the condition = 3/4

(c)

(d) If someone has no family history of the disorder, their genotype would be AA.

                 AA     x     aa

                        4 Aa

<em>The chance that a child with alkaptonuria will have an offspring with alkaptonuria if the child's mate has no family history </em>= 0

(e)

(f) <em>The chance that a child with alkaptonuria will have an offspring with alkaptonuria if the child's mate has no family history</em> = 0

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Consider the heterozygous oval, thick cell walled bacteria to have the alleles OoTT and the thin cell walled bacteria to have alleles oott. Results will be 50% oval, thick walled bacteria and 50% round, thick walled bacteria. This will be the F1 progeny.

When the oval, thick walled bacteria from the F1 progeny is cross bred with round, thick walled bacteria then 25 percent of the bacteria will be heterozygous oval, thick walled. 25 percent will be heterozygous oval and heterozygous thick walled. 25 percent will be round and thick walled. 25 percent will be round and thin walled.

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