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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