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probability

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a fair coin is tossed 10 times ,wt is the probability that head will come up in first two toss of coin??

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"a fair coin is tossed 10 times ,wt is the probability that head will come up in first two toss of coin"

We do not even need to consider remaining tosses.

So Total Set of outcomes of First 2 tosses is = { HH,HT,TH,TT}

Required outcome = {HH}

Answer -> cardinality {HH} / cardinality {HH,HT,TH,TT}  = 1/4 = 0.25

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5 5 votes
No of way(s) to fillFirst two places = 1

Rest tosses may result Head or Tail = 2*2*2*.......2 = 2^8 = 256

Total sample space = 2*2*2.....*2 = 2^10 = 1024

P (1st two tossesresult Head) = 256/1024 = 1/4 = 0.25
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