Two cards are drawn without replacement from a well shuffled pack. Find the probability that one of them is an ace of heart
Find the required probability:
There are cards in a pack of cards, but there is only ace of hearts.
Let be the event of getting an ace of hearts
Let be the event of not getting an ace of hearts
Two card are drawn. There are two ways of drawing the cards such that at least one of them is an ace of hearts
Case : Let be the event where we draw the first card an ace of hearts and the second card as non ace of hearts
[ non ace of hearts remain in the remaining cards]
Case : Let be the event where we draw the first card as non ace of hearts and the second card as ace of hearts
[ ace of hearts remain in the remaining cards]
Therefore, the total probability is
So, the probability of getting an ace of hearts on drawing two cards from a full pack of cards is .
Hence, option (B) is the correct answer.