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Question

Mathematics Question on Probability

Suppose six coins are flipped. Then the probability of getting at least one tail is

A

(7172)(\frac{71}{72})

B

(5354)(\frac{53}{54})

C

(6344)(\frac{63}{44})

D

(112)(\frac{1}{12})

Answer

(6344)(\frac{63}{44})

Explanation

Solution

The total number of possible outcomes when flipping six coins=26=642^6=64
Probability that no tail occurs=164\frac{1}{64}
So, Probability of occurring at least one tail=1-\frac{1}{64}$$=\frac{63}{64}
The correct option is (C): (6344)(\frac{63}{44})