In a certain liberal arts college with about 10,000 students, 50% are males. If two students from this college are selected at random, what is the probability that they are of the same gender? Your answer should be rounded to 4 decimal places.

The probability that both the students selected are of the same gender is 0.25.

Step-by-step explanation:

Let X = number of students selected of the same gender.

The probability of selecting a student of a particular gender is,

P (X) = p = 0.50.

The number of students selected is, n = 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.

5x+2x=49

7x=49

x=7. 35 apples

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743