One card is drawn from a pack of 52 cards. The probability that it is the card of a king or spade is

As a card is drawn from a deck of 52 cards


Let S denotes the event of card being a spade and K denote the event of card being King.


As we know that a deck of 52 cards contains 4 suits (Heart ,Diamond ,Spade and Club) each having 13 cards. The deck has 4 king cards one from each suit.


We know that probability of an event E is given as-


P(E) =


Where n(E) = numbers of elements in event set E


And n(S) = numbers of elements in sample space.


Hence,


P(S) =


P(K) =


And P(S K) =


We need to find the probability of card being spade or king, i.e.


P(Spade ‘or’ King) = P(S K)


Note: By definition of P(A or B) under axiomatic approach(also called addition theorem) we know that:


P(A B) = P(A) + P(B) – P(A B)


P(S K) = P(S) + P(K) - P(S K)


P(S K) =


P(S K) = 4/13


Option (c) is the correct choice.

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