Probability Practice Test

A jar contains 5 black beads and 7 white beads. One bead is drawn at random, its color is recorded, and then it is returned to the jar. A second bead is drawn. What is the probability that at least one of the two beads drawn is black?

A fair coin is flipped twice. Event $A$ is “the first flip is heads,” and event $B$ is “exactly one head occurs in the two flips.” What is $P(A\mid B)$?