High School Probability Math Question. It's so CONFUSING!

Question

Each student in the Junior class was asked if they had to complete chores at home and if they had a curfew. The table represents the data.

	Yes Curfew	No Curfew	Totals
Yes Chores	51	24	75
No Chores	30	12	42
Totals	81	36	117

Let:

Event A = Having a curfew

Event B = Having chores

 

Which statement accurately describes this data?

A. A & B are are not independent because P(A | B) = 51/75 and the P(A) = 75/117 are not equal.

B. A & B are independent because P(A | B) = 51/75 and the P(A) = 75/117 are equal.

C. A & B are independent because P(A | B) = 51/81 and the P(A) = 81/117 are equal.

D. A & B are not independent because P(A | B) = 51/81 and the P(A) = 81/117 are not equal.

Answer 1

you are simply looking at whether or not the P(A) is the same as P(A | B). Does it matter whether or not B happens? Does that affect P(A)?