adam and ben each have a fair coin. adam throws it 101 times, and ben throws it 100 times. what is the probability that adam gets strictly more heads than ben?

Respuesta :

There is a change of 1/2 for Adam to get strictly more heads than Ben.

What is meant by the term probability?

  • Probability originally referred to potential. A random event's occurrence is the subject of this field of mathematics.
  • The range of the value is 0 to 1.
  • Mathematics has employed probability to foresee the frequency of various events.

The likelihood that Ben will get more heads than Adam is equal to the likelihood that Ben will get more tails than Adam. (by symmetry)

If Ben and Adam each have n+1 (101) coins, then Ben will receive more heads or even more tails than B, but never both.

Considering (1) and (2), we find that there is a 50% chance that Adam will get more heads than Ben.

Thus, there is a change of 1/2 for Adam to get strictly more heads than Ben.

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