1.

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

Answer»

Given: pack of 52 cards from which 4 are dropped

Formula: P(E) = \(\frac{favorable\ outcomes}{total\ possible\ outcomes}\) 

we have to find the probability that all the face cards of same suits are drawn total possible outcomes are 

n(S) = 52C

let E be the event that all the cards drawn are face cards of same suit 

n(E)= 4 × 4C= 4

P(E) = \(\frac{n(E)}{n(S)}\)

P(E) = \(\frac{4}{270725}\) 



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