If S = {1, 2, 3, 4, 5, 6}, A is the set of elements of S that are less than 5, and B is the set of elements of S that are even, then the probability that a single element chosen from S belongs to A or B is. (Simplify your answer.)
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- A poker player holds a flush when all five cards in the hand belong to the same suit (clubs, diamonds, hearts, or spades). We will find the probability of a flush when five cards are drawn in succession from the top of the deck. Remember that a deck contains 52 cards, 13 of each suit, and that when the deck is well shuffled, each card drawn is equally likely to be any of those that remain in the deck. The probability of drawing five spades in succession from the top of the deck is the product of the five probabilities you have found. Why? The probability of a flush in spades is the product of the probabilities due to the general multiplication rule which applies for determining the probability of dependent events occurring simultaneously. the multiplication rule for independent events which applies for determining the probability of at least one or more dependent events occurring. the general multiplication rule which applies for determining the…Suppose that a certain college class contains 59 students. Of these, 30 are freshman, 36 are biology majors, and 5 are neither. A student is selected at random from the class. Given that the student selected is a freshman, what is the probability that she is also a biology major? Write your answer as a fraction.Each of the letters a through j are printed o tiles then placed in a hat. Andre selects a tile at random and then replaces it. Clare also selects a tile at random. What is the probability that Andre and Clare both select tile b?
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