Question 1206549: There are four different phone brands available for purchase: Samsung, Apple, Huawei, Nokia. The probability of a customer buying a specific phone is represented by the following events:
A: {Apple, Samsung}
B: {Samsung, Apple, Huawei}
C: {Samsung, Nokia}
D:{Huawei}
The individual probabilities of these events are given as:
P(A) = 0.40
P(B) = 0.60
P(C) = 0.70
P(D) = 0.20
c) What is the probability that event A or event C occurs?
d) What is the probability that the next mobile sold will be Samsung?
Answer by greenestamps(13216)   (Show Source):
You can put this solution on YOUR website!
(1) P(customer buys Apple or Samsung) = 0.40
(2) P(customer buys Apple or Samsung or Huawei) = 0.60
(3) P(customer buys Samsung or Nokia) = 0.70
(4) P(customer buys Huawei) = 0.20
Note (4) is superfluous; it follows from (1) and (2).
From (4) we can conclude
(5) P(customer buys Apple or Samsung or Nokia) = 0.80
From (1) and (3) we can conclude
(6) P(customer buys Apple or Samsung or Nokia) = 1.10 - P(customer buys Samsung)
From (5) and (6) we can conclude
(7) P(customer buys Samsung) = 0.30
From (1) and (7) we can conclude
(8) P(customer buys Apple) = 0.10
From (3) and (7) we can conclude
(9) P(customer buys Nokia) = 0.40
c) What is the probability that event A or event C occurs?
That means the customer is buying anything but Huawei
ANSWER (from (5)): 0.80
d) What is the probability that the next mobile sold will be Samsung?
ANSWER (from (7)): 0.30
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