When flipping a coin twice, there are four possible outcomes. This set of all possible outcomes is called the sample space . Each flip can result in either Heads (H) or Tails (T).
Here’s how to create the sample space:
- First Flip: H, Second Flip: H: This gives the outcome HH.
- First Flip: H, Second Flip: T: This gives the outcome HT.
- First Flip: T, Second Flip: H: This gives the outcome TH.
- First Flip: T, Second Flip: T: This gives the outcome TT.
Therefore, the sample space (denoted by S) for flipping a coin twice is:
S = {HH, HT, TH, TT}
What is the sample space of possible outcomes of a coin flip twice?
The set of all possible outcomes of a particular experiment is called the sample space for the experiment. If a coin is tossed twice, the sample space is {HH, HT, TH, TT}, where TH, for example, means getting tails on the first toss and heads on the second toss.
What is the possible number of outcomes if the coin is tossed twice?
From my experience, As there are four possible outcomes in the sample space, hence, the number of total outcomes is 4. Next, we will find the number of times 2 heads are obtained when a fair coin is tossed twice. We can observe that two heads appear only in the outcome in the sample space S = { HH, HT, TH, TT } .
What is the sample space for flipping two coins?
So, the sample space when we toss 2 coins is { TT, TH, HT, HH }.
How many possible outcomes are there from flipping it twice?
Good point! There are 4 possible outcomes. HH, HT, TH and TT.