Final answer:
The probability of choosing a prime number at random from the list of prime numbers less than 100 is found by dividing 1 by the total count of prime numbers in that range. Probability basics involve dividing the number of favorable outcomes by the total number of possible outcomes.
Step-by-step explanation:
The given student's question is about determining the probability of selecting a prime number at random from the list of prime numbers less than 100. To calculate this probability, we need to know the total number of prime numbers in this range as well as the total number of outcomes possible, which is simply the number 1 since we are selecting only one number.
First, we should count the number of prime numbers less than 100. Then we apply the basics of probability, which state that the probability of an event is equal to the number of favorable outcomes divided by the total number of possible outcomes. Since we're choosing only one number, the total number of possible outcomes is 1. Therefore, the probability of picking a prime number in this context is simply 1 divided by the count of prime numbers less than 100.
For example, if there are 25 prime numbers less than 100, the probability of randomly selecting a prime number from that list is 1/25.