In a class on probability, a statistics professor flips two balanced coins. Both
ID: 3124877 • Letter: I
Question
In a class on probability, a statistics professor flips two balanced coins. Both fall to the floor and roll under his desk. A student in the first row informs the professor that he can see both coins. He reports that at least one of them shows tails. What is the probability that the other coin is also tails? (Beware the obvious.) Refer to Exercise 6.102. Suppose the student informs the professor that he can see only one coin and it shows tails. What is the probability that the other coin is also tails?Explanation / Answer
P(Does not have to be discarded) = P(Not flawed) + P(Flawed) *P(Reparable | Flawed)
= (1-0.22) + 0.22*0.84
= 0.78 + 0.1848
= 0.9648