An unbiased coin is tossed. If the outcome is a head then a pair of unbiased dice is…

Mathematics · JEE Main · NTA ExamsStatistics and Probability

An unbiased coin is tossed. If the outcome is a head then a pair of unbiased dice is rolled and the sum of the numbers obtained on them is noted. If the toss of the coin results in tail then a card from a well-shuffled pack of nine cards numbered 1, 2, 3, ..., 9 is randomly picked and the number on the card is noted. The probability that the noted number is either 7 or 8:
  1. \(\frac{19}{36}\)
  2. \(\frac{15}{72}\)
  3. \(\frac{13}{36}\)
  4. \(\frac{19}{72}\)

Answer

(D) 19 72

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