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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Probability

If you flip a fair coin 19 times, what is the probability that you will end up with an even number of heads?

$\begin{array}{1 1} \frac{1}{2} \\ \frac{1}{3} \\ \frac{8}{18} \\ \frac{8}{19} \end{array} $

1 Answer

If we take the first 18 coil flips, the total number of heads will either be even or odd. If it's even, the 19th flip will keep the total even with a probability of 1/2. If odd, it will convert to even with same probability. Hence, the answer is 1/2.
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