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Out of 291 births, 239 boys and 52 girls were born with the help of a method known as the MicroSort鈥檚 YSORT.

The probability of an event can be computed by taking the ratio of the number of times an event occurred to the total number of times the trials are conducted.

It can be expressed as shown below:

$P\left(A\right)=\frac{\text{Number}\text{of}\text{times}\text{A}\text{occured}}{\text{Total}\text{number}\text{of}\text{trials}}$

Define an event A that a boy is born to a couple.

The total number of births studied is equal to 291.

The number of boys born is equal to 239.

The probability of a boy being born is as follows:

$$\begin{gathered} P\left(A\right)=\frac{\text{Number}\text{of}\text{boys}\text{births}}{\text{Total}\text{number}\text{of}\text{births}} \\ =\frac{239}{291} \\ =0.821 \end{gathered}$$

Therefore, the probability of a boy being born is equal to 0.821.

In an ideal scenario, the chance of a girl or boy child is even; 0.5.

The technique will be regarded as effective if the chance of a boy being born through the technique is significantly higher than 0.5.

As the probability of a boy being born is greater than 0.5, it can be concluded that the technique successfully increases the likelihood of birth of a male.