Question
Suppose the probability that a coin toss shows “head” is p, where 0<p<1. The coin is tossed repeatedly until the first “head” appears. The expected number of tosses required is
Options :
p/1-p
1-p/p
1/p
1/p2
Answer :
1/p
Solution :
Number of tosses |
1 | 2 | 3 | 4 | 5 |
Probability of outcomes |
p | p (1-p) |
p (1-p)2 |
p (1-p)3 |
p (1-p)4 |
∴The expected number of tosses required is,
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