#### 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?

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 $\frac{1}{8}$