Kassra prefers to take morining classes. but Dr. Mataruse usually teaches in the
ID: 3431443 • Letter: K
Question
Kassra prefers to take morining classes. but Dr. Mataruse usually teaches in the afternoon. If Dr. Mataruse is teaching the class, there's only a 10% chance it will be a morning class . If someone else teaches the class, there is a 50% chance it will be a morning class.
a) Kassra decides that he will take the class so long as either Dr. Mataruse is teaching the class or it is a morning class. what is the chance of this happening ?
b) suppose you havent heard when the class is, or who is teaching it, but Kassra has. You find out that Kassara has decided to take the class ( based on his criteria explained in part a) . given this knowledge, what is the probability that Dr Mataruse is teaching the class.
Please answer part B) only and show step by step. Thank you :)
Explanation / Answer
Kassra prefers to take morining classes. but Dr. Mataruse usually teaches in the afternoon. If Dr. Mataruse is teaching the class, there's only a 10% chance it will be a morning class . If someone else teaches the class, there is a 50% chance it will be a morning class.
a) Kassra decides that he will take the class so long as either Dr. Mataruse is teaching the class or it is a morning class. what is the chance of this happening ?
b) suppose you havent heard when the class is, or who is teaching it, but Kassra has. You find out that Kassara has decided to take the class ( based on his criteria explained in part a) . given this knowledge, what is the probability that Dr Mataruse is teaching the class.
Ans.:
Let A is event that Dr. Mataruse is teaching the class and it will be a morning class, B is the event that someone teaches the class and it will be a morning class.
P(A)= 0.1
P(B)= 0.5
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