The probability of an impossible event is. (a) 0 (b) 1 (c) 1/2 (d) non...
Probability of an Impossible Event
When it comes to probability, an impossible event refers to an event that cannot occur under any circumstances. For example, the probability of a coin landing on both heads and tails at the same time is impossible.
Answer:
- The probability of an impossible event is 0.
The reason for this is that probability is a measure of the likelihood of an event occurring. If an event is impossible, then there is no chance of it happening, and therefore the probability is zero.
For instance, if you throw a dice and the number on the dice is greater than six, the event is impossible. In this case, the probability of the impossible event is zero.
It's important to note that an impossible event can never occur, and so its probability is non-existent. Probability is a tool used to quantify the likelihood of an event occurring, and if there is no chance of an event happening, then there is no probability to measure.
Conclusion:
Therefore, the probability of an impossible event is always zero since it cannot happen under any circumstances.