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KCET · Maths · Probability

Two dice are thrown simultaneously, the probability of obtaining a total score of \( 5 \) is

  1. A \( \frac{1}{18} \)
  2. B \( \frac{1}{12} \)
  3. C \( \frac{1}{9} \)
  4. D \( \frac{1}{6} \)
Verified Solution

Answer & Solution

Correct Answer

(C) \( \frac{1}{9} \)

Step-by-step Solution

Detailed explanation

Total number of outcomes is \(6 \times 6=36\)
Sum should be 5, that is, \((1,4),(4,1),(2,3),(3,2)\)
Therefore, required probability is
\(P(X)=\frac{4}{36}=\frac{1}{9}\)