Ask AI: You have two possible outcomes, and outcome A has a probability of 30%. What is the probability of outcome B, and why?

To determine the probability of outcome B, we need to assume that there are no other possible outcomes and that these two outcomes (A and B) are mutually exclusive and collectively exhaustive. This means that the probabilities of all possible outcomes must add up to 100%. Given that outcome A has a probability of 30%, we can find the probability of outcome B by subtracting the probability of outcome A from 100%. So, the calculation would be: \[ \text{Probability of outcome B} = 100\% - 30\% = 70\% \] The probability of outcome B is 70% because the sum of the probabilities of all possible outcomes (A and B) must equal 100%.

The probability of outcome B is 70%, and here's why: In any situation where there are only two possible outcomes, the sum of their probabilities must equal 100%. This is because one of these outcomes is certain to happen. Since the probability of outcome A is 30%, the remaining probability must be assigned to outcome B. To calculate the probability of outcome B, simply subtract the probability of outcome A from 100%: Probability of outcome B = 100% - Probability of outcome A Probability of outcome B = 100% - 30% = 70% So, the probability of outcome B is 70%.