In tossing a fair coin thrice, what are the possible outcomes that one head and two tails will fall?
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A: See solution below
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A: Number of Heads Frequency(f) Probability(p) Expected(E=10p) (f-E)2/E 0 6 0.1250 2.375 5.5329 1 8…
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In tossing a fair coin thrice, what are the possible outcomes that one head and two tails will fall? Show the complete procedure in answering this.
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- An urn contains 25 balls, 40% of which aregreen. A contestant reaches in the urn tochoose three balls; the contestant will win$200 if he or she selects a green ball, butwill lose $120 for any other colour. Is eachversion of the game a fair game? Justifyyour response.a pair of dice is rolled once. Suppose that you lose 9$ if the dice sum to 5 and win 10$ if the dice sum to 11 or 8. How much should you win or lose if any other number turns up in order for the game to be fair?You roll two fair dice. What is the P that the sum you roll is: D given 10?
- A quiz for a class consists of 5 questions. The questions are multiple choice with 4 possible answers each. A student randomly guesses on all 5 questions. What is the probability of that student getting a passing grade? (60% correct is passing) What is the probability of that student getting a B or better? (a low B is 80%) What is the probability of that student failing the quiz?Using the pigeonhole principle A drawer contains a dozen brown socks and a dozen black socks, all unmatched. A man takes socks out at random in the dark. How many socks must he take out to be sure that he has at least two pairs of the same color?a quiz for a psychology class consists of ten questions, the questions are multiple choices with five possible answers each with only one correcct answer. if the student did not study and is guessing for all ten questions (x is the number of correct answers a students get correct) A- what is the probability of that student gettting one correct answer? B- what is the probability of that student getting a passing grade (70% or more correct is passing)
- Precious Venus Shine got coins from her purse which accidentally rolled on the floor. If there were 8 possible outcomes, how many coins fell on the floor? A. 16 B. 8 C. 4 D. 3when playing yahtzee you roll five regular 6 sided dice. how many diffrent outcomes are possible from a single roll? the order of the dice does not matter when playing super yahtzee you roll 4 regular 5 sided dice. now how any diffrent outcomes are possible from a single rollA fair spinner has 20 colors: 3 blue, 4 red, 6 yellow and 7 green. A player will win P100 if the spinner lands on blue and P50 on red. A player need to buy tokens that cost P20 each to play the game. What is the probabiltly of losing the game? A 0.65 B. 1.0 C. 0.5 D. 0.35
- Two diced are tossed 216 times. How many times would you expect to get a sum of 4?In the board game Clue, the object of the game is to determine the which character is the murderer, whichweapon was used and in which room the murder took place (e.g., “Colonel Mustard with the Candlestickin the Library”). There are 6 different characters, 6 weapons, and 9 rooms. How many different outcomesare possible?The game "craps" is played as follows: A player rolls two fair six-sided dice. If their sum is 7 or 11 the player wins right away. If their sum is 2,3, or 12, the player loses right away. If their sum is any other number, this number becomes the "point". The player then repeatedly rolls two dice until their sum equals the point, in which case the player wins, or equals 7, in which case the player loses. What is the probability of the player winning?