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(C) The total number of cards in a well-shuffled deck is $52$. Let $A$ be the event that the card drawn is a diamond. There are $13$ diamond cards in

Vedclass · Accepted Answer

$\frac{3}{4}$

Vedclass · Answer

(C) The total number of cards in a well-shuffled deck is $52$. Let $A$ be the event that the card drawn is a diamond. There are $13$ diamond cards in a deck of $52$ cards. Therefore,the probability of drawing a diamond is $P(A) = \frac{13}{52} = \frac{1}{4}$. The event 'the card drawn is not a diamond' is the complement of event $A$,denoted as $A'$. The probability of the complement event is given by $P(A') = 1 - P(A)$. Substituting the value,we get $P(A') = 1 - \frac{1}{4} = \frac{3}{4}$.

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 not be a diamond.

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