A card is drawn from a well shuffled pack of 52 cards. Find the probability of getting a multiple of 7.

Dear Student,

Please find below the solution to the asked query:

We know formula for probability :

Probability P ( E )  = $\frac{\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{desired} \mathrm{events} \mathrm{n} ( \mathrm{E} )}{\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{events} \mathrm{n} ( \mathrm{S} )}$

Here , total number of cards =  52

So,

n ( S ) = 52

And

Total number of cards that have number multiple of 7  = 4  (  As we know we have four type of cards " heart , diamond , spade and clubs and each have one card of number 7 )

n ( E ) = 4

Therefore ,

Probability of  getting  cards that have number multiple of 7 = $\frac{4}{52} =\mathbf{ }\frac{\mathbf{1}}{\mathbf{13}}\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{(}\mathbf{ }\mathbf{Ans}\mathbf{ }\mathbf{)}$

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