To determine whether the statement "The probability that I will go to graduate school is 0.5" makes sense, we need to understand how probabilities are expressed.
Probabilities are numeric values that represent the likelihood of an event occurring. The value of any probability must lie within the range of 0 to 1, inclusive:
- A probability of 0 means the event will not occur.
- A probability of 1 means the event will certainly occur.
- Any probability between 0 and 1 represents varying degrees of likelihood for an event to occur.
Considering the statement provided: "The probability that I will go to graduate school is 0.5."
- The number 0.5 is within the range of 0 to 1.
- Therefore, 0.5 represents an event that has an equal likelihood of occurring or not occurring, meaning there is a 50% chance the person will go to graduate school.
Given these points, we can conclude that:
Option B is correct: "The statement makes sense because the probabilities of events are expressed as numbers ranging from 0 to 1."
