4. Probability

1. When two events are mutually exclusive, why is P(A and B) = 0?

If a single card is randomly selected from a deck of cards, what is the probability of selecting an ace or a king?

For two mutually exclusive events A and B, compute $P\left(A\cup B\right)$ if $P\left(A\right)=0.15$ and $P\left(B\right)=0.32$

A card is drawn from a standard deck of 52 cards. What is the probability that the card is a diamond or a king?

In Exercises 21–24, use these results from the “1-Panel-THC” test for marijuana use, which is provided by the company Drug Test Success: Among 143 subjects with positive test results, there are 24 false positive (incorrect) results; among 157 negative results, there are 3 false negative (incorrect) results. (Hint: Construct a table similar to Table 4-1.)

Testing for Marijuana Use

c. What is the probability that a randomly selected subject had a true negative result?