Question

Flip a coin three times, create the sample space of possible outcomes.HHH, THT, HTH, HTT, THH, TTTO TTT, HHT, HTH, HTT, THH, THT, TTH, TTTHHH, HHT, HTH, HTT, THH. THT, TTH TTTOHHH. HTT, THH. TTT TTH, HHT, HTH

Answer 1

Required:

The sample space of flipping a coin 3 times

The sample space of a fair coin flip is {H, T}.

The number of sequence of outcomes of three fair coin flips can be calculated using the formula

$\begin{gathered} =\text{ 2}^n \\ Where\text{ n is the number of flips} \end{gathered}$

For this problem, n = 3

Hence, the number of sequence of outcomes:

$\begin{gathered} S\text{ = 2}^3 \\ =\text{ 8} \end{gathered}$

The sample space is:

{HHH, HHT, HT H, HT T, T HH, T HT, T T H, T T T }