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From a deck of 52 cards, four cards are ...

From a deck of 52 cards, four cards are drawn simultaneously find the chance that they will be the four honours of the same suit.

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To solve the problem of finding the probability that four cards drawn simultaneously from a standard deck of 52 cards are all honors of the same suit, we can follow these steps: ### Step 1: Understand the total outcomes When drawing 4 cards from a deck of 52 cards, the total number of ways to choose 4 cards is given by the combination formula \( \binom{n}{r} \), where \( n \) is the total number of items to choose from and \( r \) is the number of items to choose. \[ \text{Total outcomes} = \binom{52}{4} \] ...
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Knowledge Check

  • From a well shuffled deck of 52 cards, one card is drawn at random. What is the probabililty that the drawn card is a queen?

    A
    `1/4`
    B
    `1/52`
    C
    `1/13`
    D
    `1/26`
  • Four cards are drawn at a time from a pack of 52 playing cards. Find the probability of getting all the four cards of the same suit.

    A
    a. 430
    B
    b. 516
    C
    c. 860
    D
    d. 960
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    A
    `5/13`
    B
    `12/65`
    C
    `44/4165`
    D
    `44/169`
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