Question

PLEASE HELP!!(:

For events A and B, P(A)=4/13 and P(B)=1/4 . Also, P(A and B)=1/15 . Are A and B independent? Please explain.

Answer 1

if they are independent then
\[P(A\cap B)=P(A)\times P(B)\]

Answer 2

so check to see if, when you multiply, you get \(\frac{1}{15}\)

Answer 3

looks to me like you do not, since \(\frac{4}{13}\times \frac{1}{4}=\frac{1}{13}\neq \frac{1}{15}\)

Answer 4

@satellite73 so then what does that conclude?

Answer 5

@apoorvk this one

Answer 6

yeah satellite is right there. A and B are not independent events.
now, does "and" there mean union or intersection?
and, first, the vein diagram!