In tossing a fair coin thrice, what are the possible outcomes that one head and two tails will fall?
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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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- Eloisa flipped a coin four times. What is the probability that it will land on heads exactly once? A multi-sided die with less than 20 sides is rolled. The probability of rolling a number divisible by 6 is 16. How many sides are there on the die? A student writes a multiple-choice test that consists of 3 questions, each with 4 choices. What is the probability of the student having a perfect mark on the test by guessingQ5. Multiple choice - circle your answer. Which of the following pairs of events is mutually exclusive? a) Sit down and stand up b) Cards: Aces and Spade c) Two dice: Odd and even d) Sit down and writefair die is rolled three times. A 5 is considered "success," while all other outcomes are "failures." Find the probability of 2 successes. The probability of 2 successes is (Type an integer or a simplified fraction.) ...
- A pair of fair dice is rolled onoe, Suppose that you lose $7 if the dice sum to 5 and win $8 if the dice sum to 11 or 12. How much should you win or lose if any other number tums up in order for the game to be fair? To keep the game fair, you should (Do not round until the final answer. Then round to the nearest cent as needed.) if the dice sum to any other numberRoll two dice and observe the numbers coming up. Define two events by: A="the sum is six," and B-"the numbers are not equal." Find and compare P(B) and P(BIA).a pair of dice is rolled once. Suppose that you lose 9$ 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?An experiment consists of rolling a pair of fair dice, one red and one green. An outcome is an ordered pair (r,g), where r is the number on the red die and g is the number on the green die. List all outcomes of this experiment.A bag contains 16 red coins, 8 blue coins, and 8 green coins. A player wins by pulling a red coin from the bag. Is this game fair?
- A child rolls 7 standard dice of different colors and records the numbers showing. Find the number of different outcomesEmma and Eddie both want to choose their family's dinner entrée. Emma prefers burgers, and Eddie would like to order pizza. To determine who gets to pick, their dad suggests rolling a pair of fair dice. If the sum of the dice is 4 or 10, then Emma will pick dinner. If the sum is 2, 3, 11, or 12, then Eddie will pick dinner. They will roll the dice again if any other number is rolled. Is this a fair way to decide? Explain.(Hint: There are 21 total possibilities when rolling a pair of dice.) a No, it is not fair because there is a higher probability of rolling 2, 3, 11, or 12, so Eddie will most likely choose dinner. b Yes, it is fair because both Emma and Eddie have an equal probability of choosing dinner. c No, it is not fair because there is a higher probability of rolling 4 or 10, so Emma will most likely choose dinner. d No, it is not fair because there is a greater probability that they will roll a number other than 4, 10, 2, 3, 11, or 12.
