vidit99 wrote:
A certain experiment has only A, B and C as the possible outcomes. If A and B are mutually exclusive events and P(A or B)=0.7. If B and C are independent events and P(B and C)=0.2, P(A)=?
Here's what's going on here
A and B are outcomes that can't happen together, which is what it means to be mutually exclusive. The combined probability of either one happening is .7, or 7/10
if there are only A, B, and C as outcomes then C is the other .3 or 3/10
the second half is giving you an opportunity to see what is the probability of outcome C by itself
to find the probability of two independent outcomes happening together, you just multiply them. So we know that C is 3/10 and the outcome is
2/10, so 3/10 X C = 2/10
which simplifies to C = 2/3
Now to find A we just have to find a common denominator and subtract C from the total of 7/10
easiest common denominator is 30, so (21/30) - (20/30) = 1/30
A = 1/30 By itself
Sorry for not using all the little codes to make stuff look like regular math, I haven't gotten the swing of it yet. Hope this helps