Question

The theoretical probability of a coin landing heads up is 1/2

Does this probability mean that if a coin is flipped two​ times, one flip will land heads​ up? If​ not, what does it​ mean?

Choose the correct answer below.

A.

​Yes, it means that if a coin was flipped two​ times, at least one of the tosses would land heads up.

B.

​Yes, it means that if a coin was flipped two​ times, exactly one of the tosses would land heads up.

C.​No, it means that if a coin was flipped many​ times, at most

one half12

of the tosses would land heads up.

D.​No, it means that if a coin was flipped many​ times, about

one half12

of the tosses would lands heads up.

Answer 1

Answer : D

For the coin, number of outcomes to get heads = 1

Total number of possible outcomes = 2

Thus, we get 1/2

However, if you suspect that the coin may not be fair, you can toss the coin a large number of times and count the number of heads

Suppose you flip the coin 100 and get 60 heads, then you know the best estimate to get head is 60/100 = 0.6

This way of looking at probability is called the relative frequency estimate of a probability

The interesting thing with this is that the more you flip the coin, the closer or about  you get to 0.5