Question

You flip a coin 100 times and record each outcome.You find that you land on heads 47 times and land ontails 53 times. What is the theoretical probability oflanding on heads?

Answer 1

If we were asked the "experimental probability", the answer would have been

$\frac{47}{100}\text{ that is number of outcomes/total outcomes. }$

But we were asked the "theoretical probability". And in theory, we can get either a head or a tail if a coin is flipped. So that makes it

$\frac{1\text{ outcome }}{total\text{ outcomes of 2 }}\text{ = }\frac{1}{2}$

Therefore, the answer is

$\frac{1}{2}$