Question

A die is thrown twice and the sum of the numbers appearing is 6. Then, the conditional probability that the number 4 has appeared at least once is

• A. \(\frac{1}{5}\)
• B. \(\frac{1}{4}\)
• C. \(\frac{2}{5}\)
• D. \(\frac{2}{36}\)

Hint:

Magnetic dipole moment depends on the orbital angular momentum quantum number.

Answer 1

The Correct Option is C

Sample space (given): Outcomes where sum = 6: (1,5), (2,4), (3,3), (4,2), (5,1) ⇒ Total = 5 outcomes Favorable outcomes: (2,4), (4,2) → 2 outcomes where 4 appears at least once Conditional Probability = \[ P(\text{4 appears} \mid \text{sum is 6}) = \frac{2}{5} \]