a card drawn at random from a pack of 52 cards, then find probability of getting ace of red suit.
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There are total 12 face cards in a deck of card, in them 6 are red face cards.
Let A be the event of getting a red face card P(A)=652
There are 4 aces in a deck of cards
Let B be the event of getting an ace P(B)=452
Probability of getting a card which is both red face card and ace (PႶB) is 252 (as there are 2 red aces)
therefore probability of getting a red face card or an ace is P(AUB) is
From the formula P(AUB) = P(A)+P(B)=P(AႶB)
Substituting the values P(AUB)=652+452−252=852
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