A coin is tossed and a die is rolled.  Find the probability of getting a

tail

and a number greater than

1.

To solve this problem, we need to calculate the probability of two independent events:

1. **Getting a tail on the coin toss.**
2. **Rolling a number greater than 1 on the die.**

### Step 1: Probability of getting a tail on the coin toss

A coin has two possible outcomes: heads (H) or tails (T). The probability of getting a tail is:

\[
P(\text{Tail}) = \frac{1}{2}
\]

### Step 2: Probability of rolling a number greater than 1 on the die

A standard die has 6 faces with the numbers 1, 2, 3, 4, 5, and 6. The event of rolling a number greater than 1 means rolling any of the numbers 2, 3, 4, 5, or 6. There are 5 favorable outcomes out of 6 possible outcomes.

\[
P(\text{Number greater than 1}) = \frac{5}{6}
\]

### Step 3: Combined Probability

Since the coin toss and the die roll are independent events, the combined probability of both events happening is the product of their individual probabilities:

\[
P(\text{Tail and Number > 1}) = P(\text{Tail}) \times P(\text{Number > 1}) = \frac{1}{2} \times \frac{5}{6} = \frac{5}{12}
\]

### Final Answer:
The probability of getting a tail on the coin toss and a number greater than 1 on the die roll is **\(\frac{5}{12}\)**.

Would you like further explanation or additional questions? Here are some related questions for you:

1. What is the probability of getting a head and a number less than or equal to 3?
2. What is the probability of getting either a tail or a number greater than 4?
3. If two coins are tossed and two dice are rolled, what is the probability of getting two tails and numbers greater than 1 on both dice?
4. How do you calculate the probability of independent events with multiple outcomes?
5. What is the probability of not getting a tail on the coin toss and rolling a number less than or equal to 2?

**Tip**: When dealing with independent events, remember that you can multiply the individual probabilities to find the probability of both events occurring simultaneously.

A coin is tossed and a die is rolled. Find the probability of getting a tail and a number greater than 1.

Calculate the probability of getting a tail on a coin toss and rolling a number greater than 1 on a die. This step-by-step solution covers concepts of probability, independent events, and the multiplication rule. Suitable for Grades 6-8.

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