Question

three cards are drawn successively without replacement from a pack of 52 well shuffled cards what is the probability that first two cards are kings and the third card drawn is an Ace

Answer 1

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Answer 2

The probability of the cards is 2/5225.

Number of sample space in the cards P(S1)  =  52

The sample space in second time, without replacement =   P (s2)  =  51

Similarly in third time the replacement will be = P(s3)  =  50

A dependent probability is a probability where the number of the sample space can be change as per the question.

Probability of a king =P ( K1)  =  n(K1) / n(s1)   =  4/52

Probability of second king    =  n(K2) / n(s2)   =  3/51

Probability of an ace = n(A) / n(s3)      =  4/50

Therefore the probability, P(of event)  will be

P {P(K1)  and  P(K2) and P(K3)}

Multiplicating the principle, P(E)  

=  4/52 × 3/51 × 4/50  

= 2/5225