Multiple choice

A fair die is rolled once. STATEMENT - 1 : The probability of getting a composite number is 1/3 STATEMENT - 2 : There are three possibilities for the obtained number (i) the number is a prime number (ii) the number is a composite number (iii) the number is 1, and hence probability of getting a prime number $=$1/3.

  1. Statement - 1 is True, Statement - 2 is True, Statement - 2 is a correct explanation for Statement - 1

  2. Statement - 1 is True, Statement - 2 is True : Statement 2 is NOT a correct explanation for Statement - 1

  3. Statement - 1 is True, Statement - 2 is False

  4. Statement - 1 is False, Statement - 2 is True
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement 1 is true: composite numbers on a die are 4 and 6, so probability is 2/6 = 1/3. Statement 2 is false: the probability of getting a prime number (2, 3, 5) is 3/6 = 1/2, not 1/3.

AI explanation

A standard die has the composite numbers 4 and 6 out of six total outcomes, so the probability is 2 divided by 6, which equals 1 divided by 3, making Statement 1 true. The numbers on a die fall into three categories (prime, composite, and the number 1), but Statement 2 incorrectly claims the probability of getting a prime number is 1 divided by 3 instead of the correct 3 divided by 6. Therefore, Statement 1 is true and Statement 2 is false.

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