Team A has probability Q of winning whenever it plays. If A plays 4 games, find the probability that A wins (i) exactly 2 games, (ii) at least 1game, (iii) more than half of the games
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- You have three bags of marbles. Bag A contains 1 red and 4 blue marbles, Bag B contains 2 red and 3 blue marbles, and Bag C contains 3 red and 2 blue marbles. (a) If one marble is drawn from each bag, find the probability that exactly two of the three marbles are blue. (b) If you randomly select one bag and draw one marble from it, find the probability that the marble is blue.EXERCISE If a fair die is rolled twice and two numbers X1= result of the first roll and X2= result of the second roll are obtained. Given that X1+ X2 = 7,what is the probability that X1 = 4 or X2 = 4?Rainfalls occur randomly and independently over the course of Metro manila. The average is 6 rainfalls every month. What is the probability of at most one rainfall in a month?
- if Marlon has 8 pairs of socks (4 white, 2 black, 1 blue, and 1 red) what is the probability that he randomly chooses two pairs of white socks to wear on consecutive days? select one: a. 3/11 b.3/13 c.3/14 d.3/15 show solutionsAssume that there are 16 frozen dinners: 9 pasta, 3 chicken, and 4 seafood dinners. The student selects 5 of them. What is the probability that at least 2 of the dinners selected are pasta dinners?Player A and Player B play chess (either of them wins, a draw is not permitted). If player A plays White, the probability of him/her winning is 0.72. If player A plays Black, the probability of him/her winning is 0.63. Player A and Player B play 2 games and in the second game, they change sides. Find the probability that player B wins both games.
- Two players, A and B, alternately and independently flip a coin for a game. The game has up to a total of 5 flips and the first player to obtain a head wins. Assume player A flips first. The coin is unfair with P(head) = 2/3. Find the probability that player A winsA bag of multicolored balls contains 3 yellow, 4 blue, 1 black and 5 pink balls. If 3 balls are drawn from the bag without replacement, what is the probability that all three have same color. Hint: Not all colors have 3 balls. Find probability of each one having 3 then add eachAssume that three stop lights on the way to school are independent. Their time probabilities are P(Red)=0.4, P(Green)=0.5, and P(Yellow)=0.1 values. What is the probability of getting ALL THREE green lights on a trip to school?
- Suppose we have 15 cans of soup with no labels, but 6 are tomato and 9 are pea soup. We randomly pick 8 cans and open them. Find the probability 3 are tomato.A certain disease has a prevalence of in a population. The rate of false 4 positives is 10% and and the rate of false negatives is 5%. If you are exposed to the disease, then probability that you contract it is . You can only contract the disease by sharing food. Suppose that you meet 10 people, that each person tests negative for the disease, and that you share food with each of them exactly three times. What is the probability that you contract the disease?A lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the right combination in one try? Kay has an 80% probability of making a free-throw in basketball, and each free-throw is independent. Kay gets to take 2 free-throws and must make both to win the game. What is the probability that Kay's team will win the game? Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows: Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50) Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50) What is Jo’s margin of error, rounded to the nearest whole number? (The formula is )