Math, asked by saiprakashssp538, 11 months ago

If six cards are selected at random (without replacement) from a standard deck of 52 cards, what is the probability there will be no pairs? (two cards of the same denomination)

Answers

Answered by JAINKRISHNA
4

Answer:

Step-by-step explanation:

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Answered by ParvezShere
5

The probability that the three cards have no pair is equal to 2112/2550 .

Total number of cards = 52

Probability of first card = 52/52 as any random card can be picked for the first time .

While picking the second card , the card similar to first card cannot be picked .

So , the no. of cards which can be picked = 48 as each card has 3

other cards of same denominaton.

Probability of picking second card = 48/51

The third card cannot be equal to either first or the second card .

So, no. of cards which can be picked = 44

Probability of picking the third card = 44/50

Probability that the three cards picked have no pairs = (52/52) × (48/51) × (44/50)

=> 2112/2550

=> 0.828

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