Answer:
Step-by-step explanation:
let's call B the event that a woman was wearing a belt and C the event that a woman was carrying a purse.
The probability P(B/C) that a woman was wearing a belt, given that the woman was also carrying a purse can be calculated as:
P(B/C) = P(B∩C)/P(C)
Where P(C) is the probability that a woman was carrying purse and P(B∩C) is the probability that the woman was both carrying purse and wearing belt.
So, P(C) is calculated as:
P(C) = 18 / 30 = 0.6
Because there were 30 women that walked by in an hour and of those women, 18 were carrying purses.
At the same way, P(B∩C) is equal to:
P(B∩C) = 6 / 30 = 0.2
Finally, P(B/C) is equal to:
P(B/C) = 0.2/0.6 = 0.3333
