Question

A recent college graduate interviewed for a job at Elentire Industries

and Rew Corporation. The chance of being offered a position at
Elentire is 0.24, at Rew is 0.28, and from both is 0.05. What is the
probability that the graduate receives a job offer from Elentire or Rew?

Answer 1

Answer: the probability that the graduate receives a job offer from either Elentire or Rew is 0.47 or 47%.

Explanation:

P(A or B) = P(A) + P(B) - P(A and B)

Where:

- P(A) is the probability of event A occurring,

- P(B) is the probability of event B occurring, and

- P(A and B) is the probability of both events A and B occurring.

In this case, Event A is the graduate receiving an offer from Elentire Industries (P(A) = 0.24), and Event B is the graduate receiving an offer from Rew Corporation (P(B) = 0.28). The probability of receiving offers from both is given as P(A and B) = 0.05.

So, the probability of the graduate receiving an offer from either Elentire Industries or Rew Corporation is:

P(A or B) = P(A) + P(B) - P(A and B)

= 0.24 + 0.28 - 0.05

= 0.47