When you toss a coin, the two possible outcomes are head and tail. Each of theserepresentsa. A joint eventb. A simple eventc. Sample spaced. a and c

To answer the question regarding the outcomes of tossing a coin, let's analyze the options given.

1. Understanding the Outcomes: When you toss a coin, the possible outcomes are two distinct results: heads (H) and tails (T).

2. Relevant Concepts:

   • Simple Event: In probability, a simple event refers to one specific outcome of an experiment. In this case, both heads and tails are simple events.
   • Sample Space: The sample space is the set of all possible outcomes of a probability experiment. For this coin toss, the sample space is {H, T}.

3. Analysis:

   • The outcomes (heads and tails) are clearly defined, with each representing a unique result from the coin toss.
   • The sample space for this experiment is indeed {H, T}.
   • Since both heads and tails are not combinations of outcomes, they are classified as simple events.

4. Verification:

   • The definitions align with the provided outcomes from tossing a coin. The simple events are heads and tails, and they comprise the entire sample space.

Final Answer

The correct choice is d. a and c, since heads and tails represent simple events and together form the sample space of the coin toss.