Respuesta :
Answer:
(a) 0.55
(b) 0.45
Step-by-step explanation:
We are given that Anthony Papantonis, owner of Nauset Construction, is bidding on two projects, A and B.
Probability that he wins project A, P(A) = 0.30
Probability that he wins project B, P(B) = 0.40
Also, winning Project A and winning Project B are independent events which means that P(A [tex]\bigcap[/tex] B) = P(A) * P(B)
(a) Probability that he wins project A or project B is given by P(A [tex]\bigcup[/tex] B) ;
P(A [tex]\bigcup[/tex] B) = P(A) + P(B) - P(A [tex]\bigcap[/tex] B)
= 0.30 + 0.40 - P(A) * P(B)
= 0.70 - (0.30 * 0.40) = 0.70 - 0.12 = 0.55
(b) Probability that he does not win either project = 1 - Probability that he
wins at least one project
= 1 - P(A [tex]\bigcup[/tex] B) = 1 - 0.55 = 0.45 .
