When a die is thrown, an odd number is obtained. What is the probability that thenumber is a prime number?

Sure, let's solve this step by step:

Step 1: Identify the total number of outcomes When a die is thrown, there are 6 possible outcomes: 1, 2, 3, 4, 5, and 6.

Step 2: Identify the favorable outcomes for getting an odd number The odd numbers on a die are 1, 3, and 5. So, there are 3 favorable outcomes for getting an odd number.

Step 3: Identify the favorable outcomes for getting a prime number The prime numbers on a die are 2, 3, and 5. So, there are 3 favorable outcomes for getting a prime number.

Step 4: Identify the favorable outcomes for getting an odd prime number The odd prime numbers on a die are 3 and 5. So, there are 2 favorable outcomes for getting an odd prime number.

Step 5: Calculate the probability The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes. In this case, the probability of getting an odd prime number is 2 (favorable outcomes) divided by 3 (total outcomes), which equals 2/3 or approximately 0.67.