Mathematics · Probability
Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question: Inside a wardrobe, there are 60 clothing items of four different types - shirts, trousers, jackets, and scarves. Two clothes are picked one after the other without replacing the first one. What is the probability that a shirt is picked first and then a scarf is picked? Statement I: The number of jackets is 2 fewer than the number of shirts. The number of scarves is 4 more than the number of jackets. The number of shirts is half the number of trousers. Statement II: If an item is picked twice with replacement, the probability of picking a trouser both times is 6 out of 15. Statement III: The probability of selecting two shirts consecutively without replacement is 1 out of 59.
- 1Any two together are sufficient
- 2Only Statement III alone is sufficient
- 3Only Statement II alone is sufficient
- 4Only Statement I alone is sufficient✓
Correct answer
Only Statement I alone is sufficient
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