Question

How many sample points are in the sample space when a coin is flipped $4$ times?

• A. $24$
• B. $10$
• C. $16$
• D. $32$

Answer 1

Answer: (C)

A coin is flipped $4$ times.

So the possible outcomes can be following: $\{Head,Tail\}$

possible outcomes are $2$ and trials are $4$.

Therefore sample space is determined by $2^4=16$.

Consider the experiment of flipping of $4$ coins. If we assume that each individual coin is equally likely to come up heads or tails, then each of the above $16$ outcomes to $4$ flips is equally likely.

Hence when a coin is flipped $4$ times, there are $16$ sample points in the sample space.