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