Question

Consider the following contingency table for the winners of 478 prizes. Here the variables are prize and gender. Skis Camera Bike Total Man 117 60 50 227 Woman 130 30 91 251 247 90 141 478 1.

What is the probability that woman wins a camera given that prize won is camera?

Answer 1

Let C = Event that the price won is camera W = Event that the winner is a woman.

We have to find:

Given: n(C) = 90, n(W) = 251, n(WC) = 30

	Skis	Camera	Bike	Total
Man	117	60	50	227
Woman	130	30	91	251
Total	247	90	141	478

By definition of conditional probability,

= 0.333

The probability that woman wins a camera given that prize won is camera is 1 / 3 = 0.333