Problem 1 A standard deck of playing cards has 52 different cards in it, four of

Question

Problem 1 A standard deck of playing cards has 52 different cards in it, four of which are threes. According to the frequency theory, what it means to say that the chance that the top card of a well shuffled deck is a three is 1/13 is that (Q1) Screen Shot Screen Shot Screen Shot 2018-02...6.35 PM 2018-02.7.52 AM 2 O Screen Shot 2018-02-23 at 9.48.02 AM Y a Search A: in one out of 13 shuffles, a three will end up on top B: in about 1,000,000 of 13,000,000 shuffles, a three will end up on top C: in repeated shuffling, the fraction of shuffles with a three on top will converge to 1/13 D: none of the above Problem 4 Problem 2 According to the theory of equally likely outcomes, the chance that a die lands with fewer than five spot(s) showing is (give a decimal fraction or a percentage) (Q4) | According to the theory of equally likely outcomes, what it means to say that the chance is 1/3 that when you roll a fair die, it lands showing either one or five spots is (Q2) A: one or five will show in one out of 3 rolls B: there are three possible outcomes; all are equally likely C: one and five are two of the six possible outcomes, so the chance is 2/6=1/3 D: the die is symmetrical E: none of the above Problem 3 According to the subjective theory, what it means to say that the chance is 1/6 that a die lands with the face with one spot on top ("a one will show"). when you roll it is (Q3) Screen Shot 2018-02...0.02 AM 2 A: the speaker thinks a one will show in one out of 6 rolls B: the speaker thinks the chance is 1/6 C: the speaker thinks the fraction of rolls that show one will converge to 1/6 D: the speaker believes 5 times as strongly that the die won't show one as that it will E: none of the above screen Sno

Explanation / Answer

Problem 1 has the third option is correct. In repeated shuffling, the fraction of shuffles with a three on top will converge to 1/13

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