How many people support the building of a new mall? How many of them are females?
0.56
Practice makes perfect
The probability that an event will occur, given that another event has already occurred, is called a conditional probability. Since we want to know the conditional probability of selecting a female given that she supports the building of a new mall, let's highlight the number of females for bulding and the total number of people for bulding in the given two-way frequency table.
For
Against
Totals
Male
62
48
110
Female
78
32
110
Totals
140
80
220
The condition that the person selected supports the building of a new mall limits the total outcomes to the 140 people. Of those 140 people, 78 are females.
P(Female | For building)&=Females for building/People for building [1em]
P(Female | For building)&=78/140≈ 0.56
