A coin is tossed twice and comes up heads both times. Someone says, Theres something

Chapter 1, Problem 4

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QUESTION:

A coin is tossed twice and comes up heads both times. Someone says, “There’s something wrong with this coin. A coin is supposed to come up heads only half the time, not every time.”

a. Is it reasonable to conclude that something is wrong with the coin? Explain.

b. If the coin came up heads 100 times in a row, would it be reasonable to conclude that something is wrong with the coin? Explain.

Questions & Answers

QUESTION:

A coin is tossed twice and comes up heads both times. Someone says, “There’s something wrong with this coin. A coin is supposed to come up heads only half the time, not every time.”

a. Is it reasonable to conclude that something is wrong with the coin? Explain.

b. If the coin came up heads 100 times in a row, would it be reasonable to conclude that something is wrong with the coin? Explain.

ANSWER:

Step  1 of 2

(a)

No, it is not reasonable to conclude that something is wrong with the coin. Since the coin is tossed twice then the probability that the coin comes up heads is half the time. So there is no chance

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