If independent events have probabilities p and q, what are the odds of at least one of the events occurring?
To calculate the odds of at least one of the events occurring, we need to consider the probabilities of each event not happening.
The probability of an event not happening (denoted as ¬A) can be calculated as 1 minus the probability of the event happening (A). Therefore, the probability of at least one of the events occurring is equal to 1 minus the product of the probabilities of each event not occurring.
So, if the probability of the first event happening is p, and the probability of the second event happening is q, the probability of at least one of the events occurring can be calculated as:
1 - (¬A) x (¬B) = 1 - (1 - p) x (1 - q)
Where ¬A represents the event A not happening, ¬B represents the event B not happening, and p and q are the probabilities of events A and B happening, respectively.