Question

A marketing study revealed that of 500 female consumers 400 owned more than 12 pair of shoes. Among 500 male consumers 300 owned more than 12 pair of shoes.

a) What is the randomly selecting a consumer who is a male or does not own more than 12 pair of shoes?

b) What is the probability of randomly selecting a consumer who owns more than 12 pair of shoes or is a female?

c) What is the probability of randomly selecting a consumer who owns 12 pair of shoes or less and is a male?

Answer 1

from above:

	more then 12	less then 12	total
male	300	200	500
female	400	100	500
total	700	300	1000

a)

randomly selecting a consumer who is a male or does not own more than 12 pair of shoes

=(500+300-200)/1000=0.6

b)

P( randomly selecting a consumer who owns more than 12 pair of shoes or is a female )

=(700+500-400)/1000=0.8

c)

probability of randomly selecting a consumer who owns 12 pair of shoes or less and is a male

=200/1000 =0.2