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Question

Find the total number of outcomes in a toss of n coins :
N = 1

___
N = 2
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N = 3
___ = ?

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Solution

Let us take a toss of 1 coin . The possible outcomes are 2- (H) ,(T)

In a toss of 2 coins , the possible outcomes are 4-(H,H) , (H,T) , (T,H) , (T,T)

In a toss of 3 coins , the possible outcomes are 8 - (H,H,H) , (H,T,H) , (H,H,T) , (H,T,T) ,(T,H,H) , (T,H,T) , (T,T,H) , (T,T,T)

Therefore the answers are 2,4,8


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