Straight Lines

Question
CBSEENMA11014662

There are 4 men and 6 women in the city council. If one council member is selected for a committee at random, how likely is that it is a woman?

Solution

Total  members in the council (4 men, 6 women) = 10
One member is selected.
rightwards double arrow          space straight n left parenthesis straight S right parenthesis space equals space straight C presuperscript 10 subscript 1 equals 10
Event A: The member is to be a woman.
rightwards double arrow           straight n left parenthesis straight A right parenthesis space equals space straight C presuperscript 6 subscript 1 equals 6
Hence,      straight P left parenthesis straight A right parenthesis equals fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 6 over 10 equals 3 over 5