Mathematics, 13.10.2020 04:01, kaylabjoyner4023
Consider the following game, played with three standard six-sided dice. If the player ends with all three dice showing the same number, she wins. The player starts by rolling all three dice. After this first roll, the player can select any one, two, or all of the three dice and re-roll them. After this second roll, the player can again select any of the three dice and re-roll them one final time. For the following questions, assume that the player used the following optimal strategy: if all three dice match, the player stops and winds; if two dice match, the player re-rolls the die that does not match; and if no dice match, the player re-rolls them all.
Requied:
a. Find the probability that all three dice show the same number on the first roll.
b. Find the probability that exactly two of the three dice show the same number after the first roll.
c. Find the probability that the player wins, conditioned on exactly two of the three dice showing the same number after the first roll.
Answers: 1
Mathematics, 21.06.2019 17:20, ryleepretty
Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?
Answers: 2
Mathematics, 21.06.2019 18:00, hotrahul8702
Factor x2 – 8x + 15. which pair of numbers has a product of ac and a sum of what is the factored form of the
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