Final answer:
The probability of Sara picking a prime number from the bag is 7 out of 8, as there are 7 prime numbers (2, 3, 5, 7, 11, 13, 17) out of a total of 8 numbers in the bag.
Step-by-step explanation:
The question asks for the probability that Sara picks a prime number from a bag containing the numbers 2, 3, 5, 7, 9, 11, 13, and 17. To solve this, we need to count how many prime numbers are there in the bag and then divide by the total number of numbers in the bag.
First, we identify the prime numbers from the list: 2, 3, 5, 7, 11, 13, and 17. This makes a total of 7 prime numbers. There are 8 numbers in total in the bag. So the probability that Sara picks a prime number is:
Probability = Number of prime numbers / Total number of numbers = 7/8
The answer choice that matches our calculation is not listed in the provided options, indicating there may have been a mistake in the question or the options given.