Respuesta :
Answer:
Probability that the company wins project A or project B is 0.50.
Step-by-step explanation:
We are given that a company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that the company wins project B is 0.25.
Also, Winning project A and winning project B are independent events.
Let the Probability of winning project A = P(A) = 0.40
Probability of winning project B = P(B) = 0.25
Now, as we know that ;
Probability that the company wins project A or project B = [tex]P(A \bigcup B)[/tex]
[tex]P(A \bigcup B) = P(A) + P(B) - P(A \bigcap B)[/tex]
So, we have to find the value of Probability of winning project A and B, i.e;
[tex]P(A \bigcap B)[/tex]
Since, we are given that Winning project A and winning project B are independent events which means when this condition is given then;
[tex]P(A \bigcap B) = P(A) \times P(B)[/tex]
= 0.40 [tex]\times[/tex] 0.25 = 0.10
Now, Probability that the company wins project A or project B is given by;
[tex]P(A \bigcup B) = P(A) + P(B) - P(A \bigcap B)[/tex]
= 0.40 + 0.25 - 0.10
= 0.65 - 0.10 = 0.55
Hence, probability that the company wins project A or project B is 0.50.
