Answer:
0.16
Step-by-step explanation:
Given;
40% males.
If two students are selected at random, probability (P) that they are both males is given as follows;
P = P(1) x P(2)
Where;
P(1) = Probability that the first one is a male
P(2) = Probability that the second one is also a male
Remember that there are 40% males.
This means that 40 out of 100 students selected is going to be a male.
Therefore, for the first selection, any of the 40 students could be selected. The probability P(1), that the first one is male is therefore;
40 / 100 = 0.4
Also,
Assuming there is replacement, for the second selection, any of the 40 students could be selected. The probability P(2), that the second one is also male is therefore;
40 / 100 = 0.4
Now, from;
P = P(1) x P(2)
P = 0.4 x 0.4
P = 0.16
The probability that they are both males is therefore 0.16