In a large city, 37% of all restaurants accept both master and visa credit cards, and 50% accept master cards and 60% accept visa cards. A tourist visiting the city picks at random a restaurant at which to have lunch. Define the following events:

M

M= {the randomly chosen restaurant accepts master credit cards},

V

V= {the randomly chosen restaurant accepts visa credit cards}.

Which of the following shows independence between two eventsM

MandV

V? [CHECK ALL THAT APPLY]

A.The eventsM

MandV

Vare disjoint.

B.P(MgivenV)

P(MgivenV)is equal toP(M)

P(M).

C.P(MandV)

P(MandV)is equal toP(M)P(V)

P(M)P(V).

D.P(MgivenV)

P(MgivenV)is equal toP(V)

P(V).

E.The eventsM

MandV

Vare not disjoint.

F.P(VgivenM)

P(VgivenM)is equal toP(V)

P(V).