The Probability of the students are of the same gender 13/25.
Probability is "possibility of the outcome of any random event".
According to the question,
Probability of the students are males P(m) = [tex]\frac{40}{100}[/tex] = [tex]\frac{2}{5}[/tex]
Probability of the students are females P(f) = [tex]\frac{60}{100}[/tex] = [tex]\frac{3}{5}[/tex]
Probability of the students both are males P(mm) = [tex]\frac{2}{5}[/tex] × [tex]\frac{2}{5}[/tex] = [tex]\frac{4}{25}[/tex]
Probability of the students both are males P(ff) = [tex]\frac{3}{5}[/tex] × [tex]\frac{3}{5}[/tex] = [tex]\frac{9}{25}[/tex]
In order to find, the probability of same gender, add P(mm) and P(ff) we get,
= [tex]\frac{4}{25}[/tex] + [tex]\frac{9}{25}[/tex]
= [tex]\frac{13}{25}[/tex]
Hence, The Probability of the students are of the same gender 13/25.
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