a card is drawn from standard deck. what is, the probability that card is an ace
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Answer:
There are 13 spade cards in the deck of 52 cards.
Probability for the card to be a spade = P1=1352=14
There are 4 aces in 52 cards.
Probability for the card to be Ace = P2=452=113
There is only one Ace Spade card.
Probability for the card to be an ace and spade = P12=152
Probability for the card to be a spade or an ace = P3=P1+P2−P12
P3=14+113−152=413
Probability for the card to be a spade or an ace or both :
Probability for the card to be both Ace and Spade is a subset of “Probability for the card to be a Spade or an Ace” and therefore the probability is same as P3
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