What is the probability that at least one of the jellybeans is yellow? b) What is the expected number of black jellybeans to be selected?
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Discrete Probability:
A bag contains 8 red, 7 green, 5 black and 10 yellow jellybeans. Six jellybeans are selected at random without any replacements.
a) What is the probability that at least one of the jellybeans is yellow?
b) What is the expected number of black jellybeans to be selected?
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- Fifty boxes labeled with numbers from 1 to 50 are laid on a table. In each box there is a blue ball and a red ball. From each box that you randomly choose, you pick only one ball randomly, without looking into the box. Right after a ball is picked up, its corresponding box is moved away from the table to avoid picking the same box again. You continue this process until 25 boxes are chosen. 1) What is the probability of picking 8 blue balls and 17 red balls from boxes with even numbered labels? If accidentally you see the fifth ball after being picked up to be Red, what would be the probability of picking 8 blue balls mentioned as above?A standard deck of cards consists of 52 cards of 13 types (2,3,...,10,J,Q,K and ace) and 4 colors (hearts, spades, diamonds and clubs), and each combination of type and color appears exactly once. We simultaneously draw 4 cards in random from a standard deck of 52 cards. What is the probability that we drew exactly 2 aces and exactly 2 hearts?A standard deck of 52 cards has 4 suits (Each has 13 cards: Ace, 2, 3,..., 10, Jack, Queen, and King): Diamonds and Hearts are red colored, whereas clubs and spades are black. If three cards are drawn at random, without replacement, find the probability of getting all three ace cards
- A jury pool has 18 men and 15 women, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, use combinations to find the probability that the jury consists of(a) all men(b) all women(c) 8 men and 4 women(d) 6 men and 6 womenAn urn contains 10 marbles, of which five are green, two are blue, and three are red. Three marbles are to be drawn from the urn, one at a time without replacement. What is the probability that all three marbles drawn will be green?BCC’s Math Club has 40 members, 24 females and 16 males. 4 of the females and 6 of the males are math majors. a) If 2 club members are randomly selected to plan the end of year Math Party, what is the probability that a male is selected first and a female is selected second? b) If 2 club members are randomly selected to plan the end of year Math Party, what is the probability that neither is male? c) At the Math Party, one club member is randomly selected to win the door prize (a pocket protector). What is the probability that a math major was selected, given that the winner was female?
- Several million lottery tickets are sold, and 60% of the tickets are held by women. Five winning tickets will be drawn at random. a) What is the probability that three or fewer of the winners will be women? b) What is the probability that three of the winners will be of one gender and two of the winners will be of the other gender?Discrete Probability: A bag contains 8 red, 7 green, 5 black and 10 yellow jellybeans. Six jellybeans are selected at random without replacement. a) What is the probability that at least one of the jellybeans is yellow? b) What is the expected number of black jellybeans to be selected?Twenty subjects volunteer for a study of a new cold medicine. Eight of the volunteers are ages 20-39, 6 are ages 40-59, and 6 are age 60 or older. If 8 volunteers are selected at random, find the following probabilities. a) the probability that all the volunteers selected are ages 20-39 b) the probability that 4 of the volunteers are ages 20-39 and 4 are age 60 or older. c) the probability that 4 of the volunteers are ages 40-59
- Two players are going to play a match of minature golf. Each of them must choose a golf ball from a bucket which contains 11 red, 24 blue, and 18 yellow golf balls. Imagine that the first player reaches into the bucket and, without looking, randomly selects two balls. A) what is the probability that both balls are red? B) what is the probability that both the balls are yellow? C) what is the probability that the two balls are different colors?There are ten cats and eleven dogs in a pet shop. Nine pets are chosen at random to visit a children’s hospital. a)Determine the probability that exactly three of the pets will be dogs. b)Determine the probability that less than 2 of the pets will be dogs. c)Determine the probability that at least 2 of the pets will be dogs. d)Determine the expected number of dogs chosen.A)Five sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the gold, silver, and bronze medals be awarded? B)At the College of Charleston, it was found that 70% of students are taking a home economics class, 77% of students are taking a Spanish class, and 66% of students are taking both. Find the probability that a randomly selected student is taking a home economics class or a Spanish class. You may answer with a fraction or a decimal rounded to three places if necessary.
