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**Hint:**Probability is a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.

Experiment: Any phenomenon like rolling a dice, tossing a coin, drawing a card from a well-shuffled deck, etc.

Outcome: The Result of any event; like number appearing on a dice, side of a coin, drawn out card, etc.

Sample Space: The set of all possible outcomes.

Event: Any combination of possible outcomes or the subset of sample space; like getting an even number on rolled dice, getting a head/tail on a flipped coin, drawing out a king/queen/ace of any suit.

Probability Function: A function giving the probability for each outcome.

There are total \[52\] cards where Half of the cards are Red and Half are Black i.e. \[26\].

Probability \[ = \dfrac{{Total\,outcomes\,occurred}}{{Total\,No.\,of\,outcomes}}\]

“J, Q, K, A” of all the sets are called Honor cards.

There are \[8\] Red honor cards are there in total \[52\] cards.

**Complete step-by-step answer:**

Total No. of cards \[ = \,52\]

Total No. of Red cards \[ = 26\]

Total No. of Red honor cards \[ = 8\]

So, a red honor cards can be selected in \[8\] ways

So, required probability \[ = \dfrac{8}{{52}} = \dfrac{2}{{13}}\]

So, the probability that a card drawn at random from a deck of \[52\] cards is Red honor is\[\dfrac{2}{{13}}\].

**Note:**There an ‘n’ no. of ways to choose from the deck of \[52\] cards and then choosing \[8\] red honor cards from that \[26\] Red cards.

Then probability \[ = \dfrac{8}{{26}} \times \dfrac{{26}}{{52}}\]

\[ = \dfrac{2}{{13}}\]

Here the probability of red honor cards from \[26\] cards is \[\dfrac{8}{{26}}\].

And probability of Red cards from a deck of \[52\] cards is \[\dfrac{{26}}{{52}}\].

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