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Answer:
The probability that both the students selected are of the same gender is 0.25.
Step-by-step explanation:
Let <em>X</em> = number of students selected of the same gender.
The probability of selecting a student of a particular gender is,
P (X) = <em>p</em> = 0.50.
The number of students selected is, <em>n</em> = 2.
The random variable follows a Binomial distribution.
The probability of a binomial distribution is computed using the formula:
Compute the probability that both the students selected are of the same gender as follows:
P (Both boys) = P (Both girls) = P (X = 2)
Thus, the probability that both the students selected are of the same gender is 0.25.