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Q.

A card is drawn from pack of cards what is the probability of getting spade or pictured card.

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Detailed Solution

Pack of cards =52
Spades =13
Pictured cards=4×3=12
A card is drawn from a pack of cards so  n(S)=52

i) A be the event of selecting a spade

n(A)=13C1

P(A)=n(A)n(S)=1352=14

ii) B be the event of selecting a pictured card

n(B)=12C1

P(B)=n(B)n(S)= 12C1 52C1=1252

iii) AB is the event of pictured spade

n(AB)=3  P(AB)=n(AB)n(S)=352    

iv)    P(AB)=P(A)+P(B)P(AB)

=1352+1252352=2252=1126

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A card is drawn from pack of cards what is the probability of getting spade or pictured card.