We have 5 cards as ten, jack, queen, king and ace of a diamond are well-shuffled with their faces downwards, 1 card is then picked up at random.
[[1]] is the probability that the drawn card is a queen.

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Detailed Solution

We are given that we have 5 cards which are as follows: Ten, Jack, Queen, King and Ace of Diamond. We are asked to find the probability. We know that probability is the possibility of an event occurring. Probability is defined as

probability = \frac{Number of favourable outcomes}{Number of total outcomes}

where a favorable outcome means the number of outcomes that apply to the event.
(i) First we are told that one card is drawn and we need to find the probability that the card is a queen. Now we only have 5 cards in total. So,
Total results = 5……(i)
Now, out of all 5 cards, our advantage gets the queen. Since we only have 1 queen of all, we get,
Number of favorable results = 1……(ii)
So, using (i) and (ii), we get,
P (getting a queen) =