When Mike and Travis go fishing, the probability that Mike catches at least one fish is 23. The probability that Travis catches at least one fish is 35. The probability that both Mike and Travis catch at least one fish is 12.
Let M = the event that Mike catches at least one fish.
Let T = the event that Travis catches at least one fish.

Are M and T independent events? Why or why not?
A) yes, because P(M)×P(T)=P(M and T)
B) yes, because P(M)+P(T)>P(M and T)
C) no, because P(M)×P(T)≠P(M and T)
D) no, because P(M)+P(T)>P(M and T)