Rone123 Posted May 13, 2022 Report Posted May 13, 2022 Suppose we have 3 cards identical in form except that both sides of the first card are colored red, both sides of the second card are colored black, and one side of the third card is colored red and the other side is colored black. The 3 cards are mixed up in a hat, and 1 card is randomly selected and put down on the ground. If the upper side of the chosen card is colored red, what is the probability that the other side is colored black? Quote
Rone123 Posted May 13, 2022 Author Report Posted May 13, 2022 think about it. Answer is 1/3. if you are interested, read Baye’s theorem on conditional probabilities and Monty Hall game 1 Quote
Rone123 Posted May 13, 2022 Author Report Posted May 13, 2022 41 minutes ago, hunkyfunky2 said: 1/2 Answer is 1/3. out of total 6 sides, 3 are colored red. Let’s mark the red sides as A,B (two sides of same card), C other card. 1. A is up, B is down 2. B is up, A is down 3. C is up, and down is black Quote
Starblazer Posted May 13, 2022 Report Posted May 13, 2022 There are 6 sides of all 3 cards, among them 3 are reds and 3 are blacks. Only 2 cards have at least one side red. They have 4 sides with 3 red and 1 black. If the upper side is red, then we have lower side either (remaining) 2 reds or 1 black. The probability of getting black is 1/3. i.e., 1 black / (2 reds+1 black). Quote
Rone123 Posted May 13, 2022 Author Report Posted May 13, 2022 4 hours ago, Starblazer said: There are 6 sides of all 3 cards, among them 3 are reds and 3 are blacks. Only 2 cards have at least one side red. They have 4 sides with 3 red and 1 black. If the upper side is red, then we have lower side either (remaining) 2 reds or 1 black. The probability of getting black is 1/3. i.e., 1 black / (2 reds+1 black). Correct 👏 Quote
texas Posted May 13, 2022 Report Posted May 13, 2022 8 hours ago, Rone123 said: Suppose we have 3 cards identical in form except that both sides of the first card are colored red, both sides of the second card are colored black, and one side of the third card is colored red and the other side is colored black. The 3 cards are mixed up in a hat, and 1 card is randomly selected and put down on the ground. If the upper side of the chosen card is colored red, what is the probability that the other side is colored black? 1/4 Quote
Swatkit Posted May 13, 2022 Report Posted May 13, 2022 9 hours ago, DalchanChekka said: 1/2 anna vendy ki eedio call cheshe answer gistunde ga @Swatkat @anna_vendy @Swatkit simple math swatkat annaoi parade vachela istunde ga Quote
Swatkit Posted May 13, 2022 Report Posted May 13, 2022 9 hours ago, Rone123 said: Suppose we have 3 cards identical in form except that both sides of the first card are colored red, both sides of the second card are colored black, and one side of the third card is colored red and the other side is colored black. The 3 cards are mixed up in a hat, and 1 card is randomly selected and put down on the ground. If the upper side of the chosen card is colored red, what is the probability that the other side is colored black? 1/3 ani swatkat anan cheppamnadu anna vendy eyyi Quote
Ministryofbadmouth Posted May 13, 2022 Report Posted May 13, 2022 8 hours ago, Rone123 said: Answer is 1/3. out of total 6 sides, 3 are colored red. Let’s mark the red sides as A,B (two sides of same card), C other card. 1. A is up, B is down 2. B is up, A is down 3. C is up, and down is black there is one card in 3 cards which can show red up and down black...its straight forward picking up any one card out of 3 is 33.335 which is 1/3.. dont make it complex..when solution is simple 1 Quote
Rone123 Posted May 13, 2022 Author Report Posted May 13, 2022 Yes, it works out that way. But not obvious, antha easy ayi vunte, Bayes theorem ki aa name vachedi kadu kada Quote
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