Statistics for Data Science I, Quiz 2

January 2026 term, 12 Apr 2026, Set 1

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There are two stores, and , which sell t-shirts on the market. The store has stock of red and 2 black t-shirts and the store has a stock of 2 red and black t-shirts. One of the stores is selected at random and two t-shirts are purchased without replacement from that store. Given that both the t-shirts purchased are red, the probability that they were purchased from store is , find the value of .

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There are two stores, and , which sell t-shirts on the market. The store has stock of red and 2 black t-shirts and the store has a stock of 2 red and black t-shirts. One of the stores is selected at random and two t-shirts are purchased without replacement from that store. Given that both the t-shirts purchased are red, the probability that they were purchased from store is , find the value of . Three independent draws are made from a standard deck of 52 playing cards, with replacement and reshuffling between each draw. Which of the following statements is/are correct? Which of the following statements is(are) true?