the probability that out of 10 person all born in June at least two have the same birthday. Explain nicely in notebook pls

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Please find below the solution to the asked query:

June has 30 days.NowProbability that atleast two have same birthday=1-No two have same birthdayNow first person has birthday on some day, then second have 29 optionsso that his birthday does not clash with first person, similarly thirdperson will have 28 options so that his birthday does not clash with first and second person and so on....HenceRequired Probability=1-1×2930 ×2830×2730×2630×2530×2430×2330×2230×2130=1-29×28×27×26×25×24×23×22×21309 

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