Probability, Random Variables, and Probability Distributions

Given two mutually exclusive events with nonzero probabilities, how does increasing the sample size affect the accuracy of empirical probabilities approximating true probabilities?

If an observational study finds a strong correlation between the number of fire trucks at a scene and the amount of damage done by a fire, which explanation most plausibly accounts for this relationship?

In a deck containing red black cards only where no card can both colors by simple chance if selecting card has probabilty $r$ choosing another has $b$ what's overall pull out distinct pairs?

In a sample space with mutually exclusive events A and B, if $P(A) = 0.6$, what is $P(B)$?

Given that event C has a probability of occurrence of 0.7, which scenario is possible for a non-empty event D if C and D are mutually exclusive?

If $P(A) = 0.8$ and $P(B) = 0.2$, what is the probability of either event A or event B occurring $(P(A \text{ or } B))$ if A and B are mutually exclusive?

In which type of non-random sample do members self-select to participate in a study or survey?

If pulling card X from Deck Y makes Event A occur with a certainty (probability =1), and pulling any other card makes Event B occur with certainty, what is P(Event A and Event B)?

When flipping two different coins, what is the probability that at least one coin will land on heads?

What is the probability of either event A or event B occurring if they are mutually exclusive and P(A) = 0.20, while P(B) = 0.30?