Question

The Gable Construction Corporation has placed bids for installing electronic message boards on two different highways.

Answer 1

Answer:

0.64 = 64% probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway

Step-by-step explanation:

We solve this question using these events as Venn sets.

I am going to say that:

Event A: Awarded the Macon Expressway.

Event B: Awarded the Seaview Expressway.

Probability that they will be awarded the Macon Expressway contract is 0.65

This means that $P(A) = 0.65$

The probability that they will be awarded the Seaview Expressway contract is 0.43.

This means that $P(B) = 0.43$

Furthermore, the probability that they will be awarded both contracts is 0.22.

This means that $P(A \cap B) = 0.22$

What is the

Probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway?

Only A:

$P(A) - P(A \cap B) = 0.65 - 0.22 = 0.43$

Only B:

$P(B) - P(A \cap B) = 0.43 - 0.22 = 0.21$

Either

0.43 + 0.21 = 0.64

0.64 = 64% probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway