Question - Calculating Probability of Independent Events
Solution:
To solve this problem, we need to find the probability of two independent events:1. Landing on a number less than 4.2. Then landing on a prime number.Let's calculate them one by one:1. Landing on a number less than 4:The spinner has numbers 1, 2, 3, 4, and 5. The numbers less than 4 are 1, 2, and 3. Hence, there are 3 favorable outcomes out of 5 possible outcomes. So, the probability of landing on a number less than 4 is 3/5.2. Landing on a prime number:The prime numbers on the spinner are 2, 3, and 5. Therefore, there are 3 prime numbers out of 5 possible outcomes. So, the probability of landing on a prime number is also 3/5.Since both spins are independent events, the combined probability of both events occurring in succession is the product of their individual probabilities:Probability of both events = (Probability of first event) x (Probability of second event)= (3/5) x (3/5)= 9/25To express this probability as a percentage, we convert the fraction to a decimal and then multiply by 100:9/25 = 0.360.36 x 100 = 36%Therefore, the probability of landing on a number less than 4 and then landing on a prime number is 36%.
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