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Two Cards are Drawn one by one at Random from a pack of 52 cards. The Probability that both of them are King Is?

Two cards are drawn one by one at random from a pack of 52 cards. The probability that both of them are kings is? Find the answer to this question and access a vast question bank that is customised for learners.

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Answer: Given: Two cards are drawn from the pack of 52 cards,

The probability that both cards are Kings must be calculated.

Formula used:

Probability = number of favourable/Total number of favourable.

nCr = n!/{(n – r)! × r!}

Calculation:

A 52-card deck of playing cards can be used to draw two cards.

⇒ 52C2 = 52!/{(52 – 2)! × 2!}

⇒ (52 × 51 × 50!)/(50!× 2 × 1)

⇒ (52 × 51)/2

⇒ 1326

The possibility of two kings appearing in a single draw exists in 4C2.

⇒ 4!/{(4 – 2)! × 2!}

⇒ (4 × 3)/2 ⇒ 6

The answer to the query is

The likelihood that they are kings

⇒ 6/1326

← 1/221
They have a 1/221 chance of being kings.