Identical twins come from a single egg that split into two
embryos, and fraternal twins are from separate fertilized eggs.
Also, identical twins must be of the same sex and the sexes are
equally likely, and sexes of fraternal twins are equally likely.
If a pregnant woman is told that she will give birth to fraternal
twins, what is the probability that she will have one child of
each sex? Use the data table below to find the probability. Sexes
of Twins boy/boy boy/girl girl/boy girl/girl Identical Twins 6
0 0 6 Fraternal Twins 2 4 4 2
Answer:-
Given That:-
Identical twins come from a single egg that split into twoembryos, and fraternal twins are from separate fertilized eggs.Also, identical twins must be of the same sex and the sexes are equally likely, and sexes of fraternal twins are equally likely. If a pregnant woman is told that she will give birth to fraternaltwins, what is the probability that she will have one child of each sex? Use the data table below to find the probability.
Boy/Boy | Boy/Girl | Girl/Boy | Girl/Girl | Total | |
Identical Twins | 6 | 0 | 0 | 6 | 12 |
Fraternal Twins | 2 | 4 | 4 | 2 | 12 |
Total | 8 | 4 | 4 | 8 | 24 |
P(Fraternal Twins with different sex)
=P(Fraternal Twins Boy/Girl) + P(Fraternal Twins Girl/Boy)
= 4/24 + 4/24
= 1/3
P(Fraternal Twins with different sex) = 0.33
Therefore This is the required Probability.
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