Question - Probability of Landing on Specific Numbers on a Spinner
Solution:
To solve this problem, we need to consider the two steps described: first landing on a number less than 4, and then landing on a prime number.From the image of the spinner, we can see that there are 5 sections, each containing the numbers from 1 to 5. Let's work on the first part: The probability of landing on a number less than 4. Numbers less than 4 on the spinner are 1, 2, and 3. That means there are 3 favorable outcomes out of the 5 possible outcomes. So, the probability P(less than 4) is 3/5 or 60%.Now, for the second part: The probability of landing on a prime number after we have already landed on a number less than 4. The prime numbers on the spinner are 2, 3, and 5. However, the second spin is independent of the first, meaning that we consider the probability of landing on a prime number out of all possible outcomes again - which are 2, 3, and 5 again. So, there are again 3 favorable outcomes out of the 5 possible outcomes. The probability P(prime number) is therefore also 3/5 or 60%.The overall probability of both events happening in sequence (landing on a number less than 4 and then landing on a prime number) is the product of their individual probabilities:P(less than 4) * P(prime number) = (3/5) * (3/5) = 9/25.To express this as a percentage, we compute:(9/25) * 100% = 36%.Therefore, the probability of landing on a number less than 4 and then on a prime number, when spinning this spinner twice, is 36%.
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