# consolidated builders has bid on two large construction projects. the company president believes that the probability of winning t

consolidated builders has bid on two large construction projects. the company president believes that the probability of winning the first contract (event a) is 0.6, that the probability of winning the second (event b) is 0.5, and that the joint probability of winning both jobs (event {a and b}) is 0.4. what is the probability of the event {a or b} that consolidated will win at least one of the jobs?

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1. Tryphena
The probability of an event {a or b} is 0.7
Probability: It is the branch of mathematics concerning numerical, descriptions of how likely an event is to occur or how likely it is that a proposition is true. the probability of an event is a number between
0 and 1.
if the two events a and b are mutually exclusive then the addition rule of probability is:
P( a or b) = P(a) + P(b) – P(a∩ b)
Given that,
P(a) = 0.6                    P(b) = 0.5
P(a ∩ b)= 0.4
According to probability methods, if two events are mutually exclusive, then the probability of either occurring is denoted as P (a ∪ b).
Now, we know that,
P( a ∪ b) = P(a) + P(b) – P( a ∩ b)
= 0.6 + 0.5 – 0.4
= 0.7