One card is drawn from a well shuffled deck of $52$ cards. If each outcome is equally likely, calculate the probability that the card will be a diamond not an ace

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When a card is drawn from a well shuffled deck of $52$ cards, the number of possible outcomes is $52$

We assume that the event 'Card drawn is an ace' is $B.$

Therefore Card drawn is not an ace' should be $B ^{\prime}$

We know that $P \left( B ^{\prime}\right)=1- P ( B )=1-\frac{4}{52}=1-\frac{1}{13}=\frac{12}{13}$

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  • [IIT 1994]