A and B have respectively (n+1) and n coins, if they toss their coin simultaneously. what is the probability that - 1) A will have more heads than B 2) A and B will have an equal number of heads. 3) B will have more heads than A
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- 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 eachPlease answer 9 and 10
- Probability scientist Atli decides to play in a lottery where there are many prizes on offer. The odds of winning each ticket in the lottery are 1/100 or 0.01. Atli decides to try his luck and buys 10 tickets.a) What is the probability that Atli will win exactly one of the tickets?b) What is the probability that Atli will win at least one of the tickets?A box contains 5 white balls and 2 red balls. If three balls are drawn from one box, find the probability that a. One ball is white b. No ball is white c. At least one ball is white d. At most one ball is whiteWhy is it that the P(3set and V wins)=(0.09+0.0675)? What is the formula of P(3set and V wins)?
- A couple is planning to have a three children. What is the probability that: All of the children will be girl? Two of the children will be boys? At least 2 of the children will be girls? The couple will have 2 boys at the most?Q4. A shipment of two boxes, each containing eight telephones, is received by a store. Box 1 contains two defective phones and box 2 contains one defective phone. After the boxes are unpacked, and all phones are mixed. Then a phone is selected and that was found to be defective. Find the probability that it came from box 2.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.
- Ms V has a box with 10 bags of M&Ms and 15 bags of Skittles. She is going to reach in and pick three bags of candy. What is the probability she picks at least one bag of skittles? (round your answer to one nonzero digit.)A jar contains 6 red marbles, 7 green marbles, and 7 blue marbles. What is the probability that you draw 3 green marbles in a row if you do replace the marbles after each draw? = What is the probability that you draw 8 blue marbles in a row if you don't replace the marbles after each draw? :Sheniqua buys a bag of cookies that contains 5 chocolate chip cookies, 5 peanut butter cookies, 6 sugar cookies and 4 oatmeal raisin cookies. What is the probability that Sheniqua randomly selects a sugar cookie from the bag, eats it, then randomly selects another sugar cookie? You may answer as a fraction or a decimal rounded to three places.