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

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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
\( \mathrm{P} \) from a well-shuffled pack of nine cards numbered \( 1,2,3, \ldots, 9 \) is randomly picked and the number

W on the card is roted. The probability that the noted number is either 7 or 8 is :
(1) \( \frac{13}{36} \)
(2) \( \frac{19}{36} \)
(3) \( \frac{19}{72} \)
(4) \( \frac{15}{72} \)
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