Question

An experiment results in one of three mutually exclusive eventsA, B,and C .

It is knownthatP(A) =.50P(B) =.30,andP(C) =.20,

Find each of the following probabilities:

(a)(2 points)P(A∪B).

(b)(2 points)P(A∩B).

(c)(2 points)P(A|B).

(d)(2 points)P(B∪C).

(e)(2 points) AreBandCindependent events? Explain

Answer 1

O soluton Given P(A)= 0.50 P(B):0.30 PCC):0,20 3 mukeally exclusive event P(AUB)- P(A)+PLO) 0.50 +0.30 : 0,80 P(AUB): 0.80 (0) PCANB) mutually Exclusive event Both are not occur at once P(ANB)=0 () P[Alb), PAOB Plo) 0,30 P(AJB)=0

a @) PCBUC) PCB)+ PCC) 0,3 +0.2 -0.5 PCBUC): 0.5 © independent events B and Care Are Plenc), o P(B) x PCC): 0.30 x0.20 0.06 i P[B00) E P(B) x PCC) 50. B and came rod independenteverd