Question

Own a bike and Live near a pool

Live Near Pool Does Not Live Near Pool
Owns a Bike 8 7
Does Not Own a Bike 10 5
Gabriel interviewed his 30 classmates on whether or not they own a bike and live near a pool. He displayed his results in the two-way table shown. Which statement is true?
A) If a classmate owns a bike then they live near a pool.

B) If a classmate doesn't own a bike than they don't live near a pool.
C) About 1/3 of his classmates live near a pool and do not own a bike.
D) A greater percentage of his classmates own a bike and don't live near a pool than own a bike and live near a pool.

Answer 1

C) About 1 /3 of his classmates live near a pool and do not own a bike.

Step-by-step explanation:

Calculate the relative frequency of each possibility:

Live near a pool and own a bike: 0.267

Live near a pool and don't own a bike: 0.333

Don't live near a pool and own a bike: 0.233

Don't live near a pool and don't ow a bike: 0.167

Answer 2

C) About 1/3 of his classmates live near a pool and do not own a bike

The way to find the answer is very simple just look at all the the other answers. We can't conclude that just because you live by a pool you own a bike or not. So A and B are out. D couldn't work because theres a higher percentage of owning a bike and live near a pool than owning one and not living near a pool. Therefore, from eliminating A,B, and D, we get the answer which is C. It is true that 1/3 of his classmates live near a pool and do not own a bike.

Hope this helped.