Question

Amber interviews with Disney and Universal in hopes of getting a summer job. The

probability of receiving an offer from Disney is 0.35, from Universal is 0.48, and from
both is 0.15. Find the probability of receiving an offer from either Disney or Universal,
but not both

a. 0.15
b. 0.53
c. 0.83
d. 0.68

Answer 1

b. 0.53

Explanation:

Let D be receiving an offer from Disney and U be receiving an offer from Universal.

Given that:

P(D) = 0.35, P(U) = 0.48 and probability of receiving an offer from both P(D ∩ U) = 0.15.

The probability of never receiving an offer P(D ∪ U)'= 1 - (0.35 + 0.48 + 0.15) = 0.02.

The probability of receiving an offer from Disney only = P(D) - P(D ∩ U) = 0.35 - 0.15 = 0.2

The probability of receiving an offer from Universal only = P(D) - P(D ∩ U) = 0.48 - 0.15 = 0.33

Therefore, the probability of receiving an offer from either Disney or Universal, but not both = 0.2 + 0.33 = 0.53