Dr Chaos said:But surely it is possible for two arrows to hit a target at once?
mathman said:Things that are possible may have zero probability. For example, everyone has a weight, but the probability that your weight is exactly a given value is zero. The point being if you are selecting from a continuous distribution, any given choice has a zero probability - you can only meaningfully talk about probability of a value in some interval.
Dr Chaos said:So does that mean that the probability of two arrows hitting a target at once is the same as with three?
CRGreathouse said:A target has nonzero size, so no. But two arrows and three arrows would (under that model, at least) have probability 0 to hit the same point.
Dr Chaos said:They don't have to hit the same point on the target - they just have to hit it at the exact same time.
When we say two events occur at the same time, it means that they happen simultaneously or at the exact same moment.
The probability of two events happening at the same time is calculated by multiplying the individual probabilities of each event. This is also known as the "and" rule in probability.
No, the probability of two events happening at the same time cannot be greater than 1. This is because the probability of an event occurring ranges from 0 to 1, where 0 represents impossibility and 1 represents certainty.
Yes, the probability of two events happening at the same time is affected by the probability of each event. The higher the probability of each event, the higher the probability of both events occurring at the same time.
The probability of two events happening at the same time can be used in various real-life situations, such as predicting the likelihood of two weather events occurring simultaneously or calculating the chances of winning multiple prizes in a lottery.