An experiment consists of flipping a coin 3 times and noting the number of times that a heads is flipped. Find the sample space S of this experiment.
S=?
To find the sample space S of this experiment, we need to list all possible outcomes.
Since we are flipping a coin 3 times, there are 2 possible outcomes for each flip - either a heads (H) or a tails (T).
So, for the first flip, we have 2 possibilities: H or T.
For the second flip, we have 2 possibilities: H or T.
For the third flip, we have 2 possibilities: H or T.
To find the sample space, we need to consider all possible combinations of these outcomes.
Listing all the possibilities systematically, we can write the sample space S as:
S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}
So, the sample space S of this experiment consists of the following outcomes: {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}.