Understanding Sample Space in Probability
The image contains a handwritten question which is related to probability. The given question is:
"A fair coin is tossed and a fair die is thrown together. Find the sample space of the events of a coin."
To answer this, firstly, we have to understand the sample space of each individual random experiment. A "fair coin" has two possible outcomes when tossed: Heads (H) or Tails (T). A "fair die" has six possible outcomes when thrown: 1, 2, 3, 4, 5, or 6.
However, the question asks only for the sample space of the events of a coin, which means we are only interested in the outcomes of the coin toss, regardless of the die result. The sample space for the coin alone is simply:
S_coin = {H, T}
If we were to find the combined sample space of tossing a coin and throwing a die together, we would list all possible pairs of outcomes, one from the coin and one from the die. But since the question only asks for the sample space of the coin, the answer provided is sufficient.
