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Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a heart and other is a ace?
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Two cards are drawn from a pack of well shuffled cards. Find the proba...


Probability of Drawing One Heart and One Ace from a Pack of Cards

When two cards are drawn from a well-shuffled pack of cards, there are a total of 52C2 = 1326 possible outcomes.

Finding the Number of Favorable Outcomes

  • There are 13 hearts and 4 aces in a deck of cards.

  • So, the number of ways to choose one heart and one ace is 13C1 * 4C1 = 13 * 4 = 52.


Finding the Probability

  • The probability of drawing one heart and one ace is the number of favorable outcomes divided by the total number of outcomes.

  • Therefore, Probability = Number of Favorable Outcomes / Total Number of Outcomes = 52 / 1326 = 0.0391 (approx).


Interpretation

  • There is a 3.91% chance of drawing one heart and one ace when two cards are drawn from a well-shuffled pack of cards.



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Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a heart and other is a ace?
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