Multiple choice

If two dice are rolled simultaneously find the probability of getting their sum a multiple of 3 or 4. यदि दो पांसो को एक साथ फेका जाता है तो उनका योग 3 या 4 से विभाजित होने की संभावना ज्ञात कीजिये ?

  1. 5/9

  2. 4/9

  3. 5/18

  4. 7/36

  5. None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When two dice are rolled, there are 36 total outcomes. Sums that are multiples of 3: 3 (2 outcomes), 6 (5 outcomes), 9 (4 outcomes), 12 (1 outcome). Sums that are multiples of 4: 4 (3 outcomes), 8 (5 outcomes), 12 (1 outcome). Using inclusion-exclusion: (2+3+5+5+4+1) - 1 (12 counted twice) = 19 outcomes. Probability = 19/36 = 5/9.