6. From a standard deck of 52 playing cards, 7 are dealt at random without replacement. What is the probability of the following? a. Exactly two of them will be aces. b. At least 5 will be aces

Consider a standard deck of 52 playing cards. You are choosing 4 cards at once. a. How many ways will you have exactly one king and one heart? b. What is the probability of having at least one ace?

Nine people apply for three jobs. Five of them are women, four of them are men. 1. If three people selected at random, what is a probability that all three are woman?(Give your answer as a fraction, you do not need to simplify) 2.lf three people selected at random, what is a probability that only one is woman?(Give your answer as a fraction, you do not need to simplify) 3. If three people selected at random, what is a probability that at least two are men?(Give your answer as a fraction, you do not need to simplify) 4.lf three people selected at random, what is a probability that at most one is a man?(Give your answer as a fraction, you do not need to simplify)

a.  A coin is flipped 5 times, find the probability of getting exactly 4 heads.  b.  A coin is flipped 5 times.  Find the probability of getting at least 3 heads.