Question

Given the above outcomes of $100$ coin tosses of a fair coin, what is the theoretical probability of flipping a head or a tail?

• A. $P\left(Head\right)=P\left(Tail\right)=0.5$
• B. $P\left(Head\right)=0.44$
  $P\left(Tail\right)=0.56$
• C. $P\left(Head\right)=0.56$
  $P\left(Tail\right)=0.44$
• D. None of the above

Answer 1

The correct option is A $P\left(Head\right)=P\left(Tail\right)=0.5$

We must understand that the theoretical probability has nothing to do with the various outcomes of previous events.

Only while calculating experimental probability do we take into account the outcomes of previous events.

In this case, we are asked theoretical probability of flipping a head or a tail with a fair coin.

Since, they are both equally likely while tossing a fair coin, the theorical probability of flipping a head or a tail is $=\frac{1}{2}=0.5$