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Q.There is a marriage between a normal man and a carrier woman of Haemophilia. Their Doctor informs that there is a possibility of a Haemophilic child born to them.
Mention:

(i) The percentage of possibility of Haemophilic boys among the progeny.
(ii) Work out the cross with the help of a Punnett square.
(iii) What is the percentage of possibility of a normal girl child among the progeny?
Himachal HpboseHPBOSE Plus Two Board 2025Subjective· 3mImportance★★★★★
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Haemophilia is X-linked recessive; crossing a normal man (X^H Y) with a carrier woman (X^H X^h) gives four equally likely offspring types, so haemophilic boys and homozygous-normal girls each make up 1/4 (25%) of the total progeny.

Setting up the cross:

Haemophilia is caused by a recessive allele (h) on the X chromosome; the normal, dominant allele is H.

  • Normal man's genotype: X^H Y
  • Carrier woman's genotype (carries the recessive allele but is phenotypically normal): X^H X^h

Gametes:

  • Father (X^H Y) produces two types of gametes: X^H and Y (each with probability 1/2).
  • Mother (X^H X^h) produces two types of gametes: X^H and X^h (each with probability 1/2).

(ii) Punnett Square:

X^H (from father)Y (from father)
X^H (from mother)X^H X^H (normal girl)X^H Y (normal boy)
X^h (from mother)X^H X^h (carrier girl)X^h Y (haemophilic boy)

This gives four possible offspring types in a 1:1:1:1 ratio:

  • X^H X^H — normal (non-carrier) girl
  • X^H X^h — carrier girl (phenotypically normal, but carries the h allele)
  • X^H Y — normal boy
  • X^h Y — haemophilic boy

(i) Percentage of haemophilic boys among the progeny:

Out of the 4 equally likely combinations, only 1 (X^h Y) is a haemophilic boy.

So the percentage of haemophilic boys among the total progeny = 1/4 × 100 = 25%.

(Note: among sons alone, the chance is 1/2 or 50%, but as a fraction of ALL the progeny it is 25%.)

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