Compound events refer to the probability of two or more independent events occurring at the same time. It is a complex but crucial concept in mathematics which helps students to understand how likely an event or situation is. As a math teacher, it is important to teach students about the outcomes of compound events and how to calculate their probabilities accurately. Here are some effective activities that can help you teach your students the outcomes of compound events:

**1. Toss a coin and roll a dice simultaneously**

In this activity, students will toss a coin and roll a dice at the same time and record the outcomes. Have them record the number that appears on the dice and heads or tails on the coin. Ask them to identify the compound events that occurred and calculate the probability of each event. This activity helps students to understand how to calculate the probability of two independent events.

**2. Play a card game**

Using a deck of cards, have students pair up and draw a card at the same time. They should record the value and the suit of their card and identify the compound events that occurred. Ask them to calculate the probability of each event and compare their results with their partner. This activity will help to reinforce the concept of compound events and the calculation of probability using a deck of cards.

**3. Use a spinner**

Using a spinner, ask students to spin the wheel twice and record the outcomes. They should identify the compound events and use a probability tree to calculate the probability of each event. This activity helps students to understand how to draw a probability tree and calculate the probability of two or more independent events.

**4. Roll two dice**

Have students roll two dice at the same time and record the outcomes. They should identify the compound events and calculate the probability of each event. This will help to reinforce the concept of rolling two dice simultaneously and calculating the probability of each event.

**5. Conduct a survey**

Create a survey questionnaire that involves two or more questions. For example, ask students how often they eat pizza and what their favorite toppings are. Ask them to record their responses and calculate the compound events that occurred. This activity will help them to understand how to calculate the probability of two or more events occurring at the same time.

In conclusion, the above activities are effective in teaching students the outcomes of compound events. These activities help to reinforce the concept of probability and provide students with a hands-on experience that makes learning fun and engaging. Additionally, they also help students to develop critical thinking skills and problem-solve as they try to determine the probability of each event.