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  • I toss three coins together. The possible outcomes are no heads, 1 head, 2 heads and 3 heads. So, I say that probability of no heads is 1 by 4. What is wrong with thisconclusion

I toss three coins together. The possible outcomes are no heads, 1 head, 2 heads and 3 heads. So, I say that probability of no heads is \frac{1}{4} . What is wrong with thisconclusion?

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Answer.    [\frac{1}{8} ]

Solution.    Probability: probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Total cases in tossing three coins = 8(HHH, HHT, HTH, THH, TTT, TTH, THT, HTT)
Number of case with no head = TTT
 Probability = \frac{Number\, of\, favourable\ cases }{Total\, number\, of\, cases}
  Probability of no head  =\frac{1}{8}
The conclusion that probability of no head is \frac{1}{4} is wrong because as we calculate it above, it comes out \frac{1}{8} . Hence the probability of no head is \frac{1}{8}

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