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An ordinary deck of 52 cards is shuffled. what is the probability that the top four cards have (a) different denominations? (b) different suits?

Sagot :

The different denomination is 0.6761

The different suits are  0.1055

What are deck of cards consist of?

A standard deck of cards has four suites: hearts, clubs, spades, diamonds. Each suite has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen and king. Thus the entire deck has 52 cards total.

Given:

Deck of cards= 52

Now,

There are 4 denomination in each cards

and there are 4 suits in deck of cards

a) different denominations

=52*48*44*40/(52*51*50*49)

= 0.6761

b) different suits

=52*39*26*13/ /(52*51*50*49)

= 0.1055

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