Horses are housed in pasture pipe pens or barn stalls at a l

Horses are housed in pasture, pipe pens or barn stalls at a local horse barn. Let A= (horse housed in barn stall). Let B= (horse not housed in barn stall).

a. P(A or B) = P(A) + P(B)

b. then B is the complement to A

c. B and A are mutually exclusive

d. all of the answers are correct.

Solution

P( A ) = (horse housed in barn stall)

P(B) = ( housed in pasture or pipe pens)

i.e P( A n B ) = 0, A,B are mutually exclusive here

and P(A or B) = P(A) + P(B) - 0 = P(A) + P(B)

and P(B) = 1 - P(A) = B is the complimentary to A here

Answer) d. all of the answers are correct