During an experiment, three coins were tossed at once. Part A: Give the sample space to show all possible outcomes for tossing three coins one time, using the letter H when a coin faces “heads” up, and the letter T when it faces “tails” up.
The sample space to show all possible outcomes for tossing three coins one time would be:
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
To find the sample space for tossing three coins one time, we need to consider all possible outcomes.
When a coin is tossed, it can land either "heads" up (H) or "tails" up (T).
Since there are three coins being tossed, and each coin has two possible outcomes, we can use a tree diagram to represent all the possible outcomes.
The sample space for tossing three coins one time is as follows:
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
Here, each sequence represents the outcome of the three coins, from left to right. For example, HHT represents the outcome of the first coin being heads up, the second coin being heads up, and the third coin being tails up.
Therefore, the sample space for tossing three coins one time is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.