let events a and b be described as follows:

p(a) = doing yard work
p(b) = it raining

the probability that it will rain this weekend is 68% the probability of doing yard work this weekend and it raining is 15%. if the probability of doing yard work is 53%, are doing yard work and it raining independent?

a. yes, because p(a | b) = 0.22 and the p(a) = 0.53are not equal.

b. no, because p(a| b) = 0.28 and the p(b) = 0.68 are not equal.

c. yes, because because p(a| b) = 0.28 and the p(b) = 0.68 are not equal.

d. no, because p(a | b) = 0.22 and the p(a) = 0.53are not equal.