### Solution:

Given that the ten, jack, queen, king and ace of diamonds, are well shuffled with their faces downwards.As there are 5 cards in total which are well-shuffled, the number of total outcomes is 5.

Number of queens in 5 cards is 1.

So, the favourable outcome is 1.

The formula of the probability of an event is the number of favorable outcomes divided by the total number of outcomes.

$\n \n P(E)=\n \n no.offavorableoutcomes\n \n totalnumberofoutcomes\n \n \n $

The probability that drawn card is queen is,

$\n \n \n \n \n P\n \n \n \n =\n \n no.offavorableoutcomes\n \n totalnumberofoutcomes\n \n \n \n \n \n \n \n \u21d2P\n \n \n \n =\n 1\n 5\n \n \n \n \n \n \n $

Therefore, the probability that drawn card is queen is $\n \n \n 1\n 5\n \n \n $ .

Hence, option 1 is correct.