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You and your friend were studying and you left your cell phone either in the computer lab or in the cafe (these were the only two places you visited). You think that with probability .4 it was left in the computer lab. because you always take it out of your backpack there, otherwise, it was left in the cafe. If you left the phone in the computer lab. the probability that someone stole it is .3. In the cafe, the probability that someone stole it is twice that of the computer lab.
The probability of not finding your cell phone (i.e., it was stolen) is
(a). 60
(b). 30
(c). 48
(d). 18
(e). 90

Respuesta :

Karabo99

Answer:

(c). 48

Explanation:

let P(S|L) be the probability that you left your phone in the computer lab and someone stole it.

let P(S|C) be the probability that you left your phone at the cafe and someone stole it.

By the law of total probability, the probability that your phone is stolen is  given by:

P(S) = P(S|L)P(L) + P(S|C)P(C)

       = 0.3 * 0.4 + 0.6 * 0.6

       = 0.12 + 0.36

       = 0.48

Therefore, The probability of not finding your cell phone (i.e., it was stolen) is 0.48

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