To determine if the statement "Probability can never be equal to 0" is true or false, let’s analyze the concept of probability.
Probability is a measure of the likelihood that an event will occur within a defined set of possible outcomes. The probability value ranges from 0 to 1:
- A probability of 1 indicates that the event is certain to happen.
- A probability of 0 indicates that the event is impossible to happen.
Let’s consider an example for clarity:
- Suppose you have a standard six-sided die and want to know the probability of rolling a 7. Since a standard die only has the outcomes 1, 2, 3, 4, 5, and 6, the probability of rolling a 7 is 0. This is because the event is impossible.
Another example could be:
- If you are drawing a card from a standard 52-card deck and want to know the probability of drawing a card with a rank of 15. Since there are no cards in the deck with a rank of 15, the probability of this event is 0, as it is impossible.
Based on these examples, we can clearly see that the probability of certain events can indeed be zero if those events are impossible.
Therefore, the statement "Probability can never be equal to 0" is False.
