Question

In an experiment of tossing a coin, a coin is tossed 1 trillion times. which of following statements are true about the probability of getting a 'Tail' ?

• A. Experimental probability is exactly to theoretical probability
• B. Experimental probability can be close to $\frac{1}{2}$ but not exactly equal to $\frac{1}{2}$
• C. Value of theoretical probability is exactly equal to $\frac{1}{2}$
• D. Experimental probability is close to 1 but not exactly equal to 1.

Answer 1

Answer: (B), (C)

The correct options are
B Experimental probability can be close to $\frac{1}{2}$ but not exactly equal to $\frac{1}{2}$
C Value of theoretical probability is exactly equal to $\frac{1}{2}$

Theoretical Probability of getting a head or a tail is always = $\frac{1}{2}$, as the outcomes are equally likely.

In experimental probability the outcomes are not equally likely, but if the experiment is repeated for a large number of times then it may approach theoretical probability.

Experimental probability is defined as,

P(E)= $\frac{\text{Number of trails in which the event happened}}{\text{Total number of trials}}$

since, these trial are done randomly, when number of trials are increased, the possibility of getting both head and tail becomes almost equal.