A careless university student leaves her Clicker device behind with probability

Question

A careless university student leaves her Clicker device behind with probability 1/4 each time she attends a class. She sets out with her Clicker device to attend 5 different classes (each class is in a different lecture theatre). If she arrives home without her Clicker device and she is sure she has the Clicker device after leaving the first class, what is the probability (to 3 SIGNIFICANT figures) that she left it in the 5th class? What is the probability (to 3 significant figures) that she will leave her Clicker device In the 5th class? She arrives home without the ¡Clicker device and rushes back to the university to retrieve the device. She has enough time to get to only one lecture theatre before the theatres are locked up for the day. Which class should she try so that she has the best chance of retrieving her device? First class Second class Third class Fourth class Fifth class

Explanation / Answer

Part 1) Given that she has arrived home without iclicker but she remembers she had it after the first class.

Total no. of cases that she left iclicker=4

No. of cases that she left it in 5th class=1

so the probability of this situation =1/4 = 0.250.

Part 2) (3/4)^4*(1/4) = 0.0791

Here, 3/4 is the probability that she has not left the iclicker.

Part 3) Second class

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