What is the probability that a five-card poker hand contains the two of diamonds and the three of spades?

Question

Ans :

How answer is ((1C1)(1C1)(50C3))/(52C5)?

Answer 1

Getting 2 of diamond as there is only one card of 2 in diamond so chances of it getting are 1C1

Getting 3 of spades same.. 1 card only so chances of getting it are 1C1

Now other 3 cards can be anyother leaving aside these 2 for that you need to pick 3 cards i.e 50C3

Now probability of picking all in together is=1C1* 1C1* 50C3/52C5

Comments

no bro its ok...we are here to discuss doubts only......:(

question is saying you need to select card numberd 2 of dimaonds not 2 cards from diamond did you get it..??

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if it is the question, then answer is right....

but unfortunately i am not getting that from the question statement .

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@shaikh we need some CAT student here to clarify english..hehhe