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Two cards are picked from a well-shuffled pack of cards. What is the probability that one card is a club or a spade and the other is a king?

Two cards are picked from a well-shuffled pack of cards. What is the probability that one card is a club or a spade and the other is a king? Correct Answer <span class="math-tex">\(\dfrac{4}{51}\)</span>

Given, 

Two cards are picked from a well-shuffled pack of cards

Calculation 

Total number of ways of drawing 2 cards from 52 cards = 52C2 

since there are 26 one card a club or a spade and one is king = 26C1 × 4C1

then Required probability = (26C1 × 4C1)/52C2 

⇒ 26 × 4 /(52 × 51)/ 2 

⇒ 4/51 

∴ The Required probability = 4/51 

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