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 Jan 24 awarded Notable Question Sep 24 awarded Autobiographer Oct 24 awarded Popular Question Aug 3 asked History of operator precendence May 18 awarded Commentator May 18 comment Probability of random shuffling of cards Thanks. The second case(the interesting one) is the one I am working on. Got the intuition. Would work towards the proof. May 17 comment Probability of random shuffling of cards Yes and thanks for persisting with me. Can I move this to chat. I have already got an alert! May 17 comment Probability of random shuffling of cards I would put the 7C back in place of 6S. If 6S is the 32nd card, then after the first replacement 7C would be the 32nd card and 6S the first card (both would swap places). But 6S could be anywhere in the deck. May 17 comment Probability of random shuffling of cards @GerryMyerson For the first card (7C), I pick any card from the remaining 51 cards (6S). Now I am going to put the original card (7C) back in the deck. And for the next card (6D), I am going to select from the remaining 50 cards excluding 6S and 6D and so on. So what is the probability that 6S,6D,7C or any other card would end up in the list and is it same for all the cards in the pack? May 17 comment Probability of random shuffling of cards @GerryMyerson Cards once replaced aren't put back. Its a biased shuffle (shuffle may be the wrong term). So for the first card I pick from the next 51 cards, for the second card, I leave the first card and select from the remaining 50 cards and so on. So there would be no selection for the last card since it is automatically select. And just 2 options for the 51 st card. May 17 comment Probability of random shuffling of cards @RossMilikan The first card can be selected in 1/51 ways, the second in 1/50 ways and so on. But I can't think beyond it as to what's the chance of each card being anywhere in the shuffled deck May 17 asked Probability of random shuffling of cards Apr 11 awarded Talkative Apr 10 awarded Editor Apr 10 comment Probability of multiple-choice answers in questions Thanks for the reply Andre and learning Binomial and other distributions Apr 10 comment Probability of multiple-choice answers in questions Thanks for the suggestion on Binomial Distribution. Regarding Q No.4, if I calculate the average percentage score of all students in the test taken together, does Q have an impact? Regarding Q No.6, can you provide the link to the article. Apr 10 awarded Scholar Apr 10 accepted Probability of multiple-choice answers in questions Apr 10 comment Probability of multiple-choice answers in questions For question No.6, I changed my simulation and got the results as expected, both strategies yielded the same results. Apr 10 awarded Student