Probability, Random Variables, and Probability Distributions

What rule should be applied to calculate the probability that either event A or event B will occur?

In a card game, if a player draws two cards from a standard deck without replacement, what is the probability that both are kings given that the first card drawn was a king?

If the probability of event A occurring is 0.3 and the probability of event B occurring is 0.5, what is the probability of both event A and event B not occurring if they are independent?

In a game where rolling an even number on a die and drawing a red card from a standard deck are independent events, what is the probability of both events occurring simultaneously?

The probability of event A occurring is 0.2. The probability of event A or event B occurring is 0.44. If the two events are independent, what is the probability of event B?

If flipping a fair coin twice, what is the probability of getting two heads?

A researcher notes that in his study participants either drink coffee or exercise in the morning but not both; if there's an equal likelihood for each option such that $P( ext{Coffee})=P( ext{Exercise})=0.5$ what's $P( ext{Coffee or Exercise})$?

In a test where the odds of choosing the right answer by guessing between four options are always the same, what are the chances that a student will guess at least once correctly if they take two separate tests?

If the probability that a component from Supplier A is defective is 0.02 and the probability that a component from Supplier B is defective is 0.03, assuming the components are independent, what's the probability that a purchased component from both suppliers will be non-defective?

If the probability of a student being randomly selected for a survey is 0.3 and the decision to select one student is independent from selecting another, what is the probability that exactly two out of five students will be selected?