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Two cards are drawn one after the other from a regular deck of 52 playing cards without replacement. The probability that the drawn cards are of different suits is?
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Two cards are drawn one after the other from a regular deck of 52 play...
Probability of Drawing Cards of Different Suits
Probability can be calculated by determining the total number of favorable outcomes and dividing it by the total number of possible outcomes. In this case, we are looking for the probability of drawing two cards of different suits from a deck of 52 playing cards without replacement.
Total Number of Cards in a Deck
A standard deck of playing cards consists of 52 cards, divided into four suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards.
Favorable Outcomes
When drawing the first card, there are 52 possible cards to choose from. After drawing the first card, there are 39 cards of different suits remaining out of the total 51 cards left in the deck.
Calculating the Probability
To find the probability of drawing two cards of different suits, we need to multiply the probability of drawing a card of a different suit on the second draw by the probability of drawing a card of a different suit on the first draw.
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = (52/52) * (39/51) = 0.76
Therefore, the probability of drawing two cards of different suits from a standard deck of 52 playing cards without replacement is 0.76 or 76%.
Probability can be calculated by determining the total number of favorable outcomes and dividing it by the total number of possible outcomes. In this case, we are looking for the probability of drawing two cards of different suits from a deck of 52 playing cards without replacement.
Total Number of Cards in a Deck
A standard deck of playing cards consists of 52 cards, divided into four suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards.
Favorable Outcomes
When drawing the first card, there are 52 possible cards to choose from. After drawing the first card, there are 39 cards of different suits remaining out of the total 51 cards left in the deck.
Calculating the Probability
To find the probability of drawing two cards of different suits, we need to multiply the probability of drawing a card of a different suit on the second draw by the probability of drawing a card of a different suit on the first draw.
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = (52/52) * (39/51) = 0.76
Therefore, the probability of drawing two cards of different suits from a standard deck of 52 playing cards without replacement is 0.76 or 76%.
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Two cards are drawn one after the other from a regular deck of 52 playing cards without replacement. The probability that the drawn cards are of different suits is?
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Two cards are drawn one after the other from a regular deck of 52 playing cards without replacement. The probability that the drawn cards are of different suits is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two cards are drawn one after the other from a regular deck of 52 playing cards without replacement. The probability that the drawn cards are of different suits is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cards are drawn one after the other from a regular deck of 52 playing cards without replacement. The probability that the drawn cards are of different suits is?.
Two cards are drawn one after the other from a regular deck of 52 playing cards without replacement. The probability that the drawn cards are of different suits is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two cards are drawn one after the other from a regular deck of 52 playing cards without replacement. The probability that the drawn cards are of different suits is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cards are drawn one after the other from a regular deck of 52 playing cards without replacement. The probability that the drawn cards are of different suits is?.
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