You spin the spinner twice.

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What is the probability of landing on a number less than 4 and then landing on an even number?

Write your answer as a percentage rounded to the nearest tenth.

To solve this, let's break it down step by step.

1. **Assume the numbers on the spinner are 1 through 5.** This means the possible outcomes for each spin are 1, 2, 3, 4, and 5.

2. **Step 1: Probability of landing on a number less than 4 on the first spin.**
   The numbers less than 4 are 1, 2, and 3. There are 3 such numbers out of 5 possible outcomes.
   \[
   P(\text{less than 4}) = \frac{3}{5}
   \]

3. **Step 2: Probability of landing on an even number on the second spin.**
   The even numbers on the spinner are 2 and 4. There are 2 even numbers out of 5 possible outcomes.
   \[
   P(\text{even number}) = \frac{2}{5}
   \]

4. **Step 3: Calculate the combined probability.**
   Since the two spins are independent, we multiply the probabilities:
   \[
   P(\text{less than 4, then even}) = P(\text{less than 4}) \times P(\text{even number}) = \frac{3}{5} \times \frac{2}{5} = \frac{6}{25}
   \]

5. **Step 4: Convert the fraction to a percentage.**
   \[
   \frac{6}{25} = 0.24 = 24\%
   \]

Thus, the probability of landing on a number less than 4 and then landing on an even number is **24%**.

Would you like further clarification or more details? 

Here are 5 related questions to explore:
1. What is the probability of landing on an odd number on both spins?
2. What is the probability of landing on a number greater than 4 and then an odd number?
3. What is the probability of landing on an even number on both spins?
4. How would the probability change if there were 6 numbers on the spinner?
5. What is the probability of landing on the same number on both spins?

**Tip:** When events are independent, the probability of both happening is the product of their individual probabilities.

You spin the spinner twice. What is the probability of landing on a number less than 4 and then landing on an even number? Write your answer as a percentage rounded to the nearest tenth.

Learn how to calculate the probability of landing on a number less than 4 and then an even number when spinning a spinner twice. This step-by-step solution involves key probability concepts, including independent events and the multiplication rule. Perfect for students in Grades 6-8.

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