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The question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. A biased die with faces bearing the numbers from 1 to 6 is rolled. What is the probability of getting a 6? I. The probability of getting any number n is proportional to n2 II. The probability of getting a perfect square or a prime is 55/91

The question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. A biased die with faces bearing the numbers from 1 to 6 is rolled. What is the probability of getting a 6? I. The probability of getting any number n is proportional to n2 II. The probability of getting a perfect square or a prime is 55/91 Correct Answer EACH statement ALONE is sufficient to answer the question asked

Statement 1:

The probabilities of rolling 1, 2, 3, 4, 5 and 6 respectively are in the ratio 1 : 4 : 9 : 16 : 25 : 36

As the total probability should be 1, we can find that the probability for 6 will be 36/91 = 36/91

Statement 1 is sufficient to answer the given question

Statement 2:

The perfect squares are 1 and 4, while the primes are 2, 3 and 5

The only number left is 6

The probability of getting a 6 is = 1 - (55/91) = 36/91

Statement 2 alone is sufficient to answer the given question

∴ Option 4 is the correct answer

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