Question

A baby is born. What is the probability that the baby is a girl?
$A)\dfrac{1}{2}$
$B)1$
$C)0$
$D)$ None of these

Answer 1

Hint: Probability is the term mathematically with events that occur, which is the number of favorable events that divides the total number of the outcomes.
If we divide the probability and then multiplied with the hundred then we will determine its percentage value.
$\dfrac{1}{6}$ which means the favorable event is $1$ and the total outcome is $6$
Formula used:
$P = \dfrac{F}{T}$where P is the overall probability, F is the possible favorable events and T is the total outcomes from the given.

Complete step by step answer:
Since from given we have a baby born, then we have to find the probability of the baby is a girl.
Thus, there are only two possibilities which are a boy baby or a girl baby. Hence the total event is $2$
Also, the favorable event of the girl is one and boy is one because either boy or a girl.
Thus, the favorable event of the girl can be obtained as $1$
Substituting the values onto the formula we get $P = \dfrac{F}{T} \Rightarrow \dfrac{1}{2}$
Hence the probability that the baby is the girl $\dfrac{1}{2}$

So, the correct answer is “Option A”.

Note:
We can also able to solve the given problem using the formula. First, let us assume the overall total probability value is $1$ (this is the most popular concept that used in the probability that the total fraction will not exceed $1$ and everything will be calculated under the number $0 - 1$ as zero is the least possible outcome and one is the highest outcome)
Hence the probability of the boy is $\dfrac{1}{2}$ and to find the girl probability we use the formula $1 - \dfrac{1}{2} = \dfrac{1}{2}$
If we add the boy and girl probability then we have $\dfrac{1}{2} + \dfrac{1}{2} = 1$ which is the total value.