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14.Probability
normal

ગંજી પત્તાની રમતમાં, કોઈ ચોક્કસ ખેલાડી વડે $13$ પત્તામાંથી ચાર રાજાના હોવાની સંભાવના કેટલી થાય ?

A

$7/4165$

B

$7/833$

C

$11/833$

D

$11/4165$

Solution

We know that there are $13$ cards to be delivered at hand

Total no. of ways $=^{52} C _{13}$

$\because 4$ King held be specific player,

So $9$ remaining cards to be delivered to him from remaining $48$ cards

No. of ways favorable $={ }^{48} C _9$

Required probability $=\frac{{ }^{48} C _9}{{ }^{52} C _{13}}$

$=\frac{48 !}{9 ! 39 !} \times \frac{13 ! 39 !}{52 !}$

$=\frac{11}{4165}$

Standard 11
Mathematics

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