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Question: Answered & Verified by Expert
A coin is tossed. If head turns up then pair of dice is thrown and sum of numbers is noted. If tail turns up then a card numbered from \( 1 \) to \( 9 \) is drawn and number is noted. The probability that the sum of numbers on dice or the number on card is \( 7 \) or \( 8 \), is:
MathematicsProbabilityJEE Main
Options:
  • A \( \frac{13}{36} \)
  • B \( \frac{15}{72} \)
  • C \( \frac{19}{72} \)
  • D \( \frac{11}{36} \)
Solution:
2091 Upvotes Verified Answer
The correct answer is: \( \frac{19}{72} \)

P7or 8

=PH P7 or 8+PT P7or 8

=12×1136+12×29=1172+19=1972

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