Mathematics - Probability Question with Solution | TestHub

An unbiased coin is tossed. If the result is a head, a pair of unbiased dice is rolled and the number obtained by adding the numbers on the two faces is noted. If the result is a tail, a card from a well shuffled pack of eleven cards numbered $2,3,3,4,\dots 12$ is picked and the number on the card is noted. The probability that the noted number is either 7 or 8 is $\frac{\mathrm{P}}{792}$ then the digit in tens place of $P$ is