To determine the likelihood that the first question in the quiz will be true, we start by looking at the provided probability value, [tex]\(P(\text{true}) = 0.7\)[/tex].
1. Understanding Probability Values: Probabilities range from 0 to 1:
- A probability of 0 means an event will not occur.
- A probability of 1 means an event will definitely occur.
- A probability of 0.5 means an event is equally likely to occur or not occur.
2. Interpretation of Given Probability:
- In this case, [tex]\(P(\text{true}) = 0.7\)[/tex].
- This means there is a 70% chance that the first question will be true.
3. Categorizing the Likelihood:
- A probability greater than 0.5 indicates that the event is more likely to occur than not.
- If the probability is much closer to 1 than to 0.5, it means the event is quite likely.
Given that 0.7 is significantly greater than 0.5, we interpret this probability as follows:
- It is Likely that the first question in the quiz will indeed be true.
So, the appropriate interpretation of [tex]\(P(\text{true}) = 0.7\)[/tex] is:
Likely.
