91Ó°ÊÓ

Through a technique known as MicroSort’s XSORT method, out of 945 births, 879 were girls, and 66 were boys.

The probability of an event is computed by taking the ratio of the number of outcomes in favor of the event to the total number of outcomes.

It can be expressed as shown below:

$P\left(A\right)=\frac{\text{Number}\text{of}\text{outcomes}\text{in}\text{favour}\text{of}A}{\text{Total}\text{number}\text{of}\text{outcomes}}$

Define an event A that a girl is born to a couple using the technique.

The total number of births is equal to 945.

The number of girls born is equal to 879.

The probability of birth of a female is as follows:

$$\begin{gathered} P\left(A\right)=\frac{Numberofgirls\text{born}}{Totalnumberof\text{births}} \\ =\frac{879}{945} \\ =0.9301 \end{gathered}$$

Therefore, the probability of birth of a female is equal to 0.930.

In a general setup, the chances of occurrence of boy and girl are even, with a probability equal to 0.5.

Using the technique, the chances for a girl to be born increases to 0.930, which is significantly higher than 0.5.

As the probability is extremely greater than 0.5, it can be concluded that the technique successfully increases the likelihood of birth of a female.