Statistics And Probability Question 498
Question: Assuming that for a husband-wife couple the chances of their child being a boy or a girl are the same, the probability of their two children being a boy and a girl is
[MP PET 1998]
Options:
A) $ \frac{1}{4} $
B) 1
C) $ \frac{1}{2} $
D) $ \frac{1}{8} $
Show Answer
Answer:
Correct Answer: C
Solution:
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The chance of being a boy or girl $ p=\frac{1}{2}, $ $ q=\frac{1}{2} $ Total child = 2, Number of boys = 1 $ P $ (1 boys, 1 girl) $ ={}^{2}C_1{{( \frac{1}{2} )}^{1}}{{( \frac{1}{2} )}^{2-1}}=\frac{1}{2}. $
BETA
