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14.Probability
medium
જો બે સિક્કા $5$ વાર ઉછાળવામાં આવે, તો $5$ હેડ (છાપ) અને $5$ ટેલ (કાંટો) મળવાની સંભાવના કેટલી થાય ?
A
$63/256$
B
$1/1024$
C
$2/205$
D
$9/64$
Solution
The cases when there will be $5$ heads and $5$ tails: $H H H H HTTTTT$
We could permute this case in $\frac{10 !}{5 ! \times 5 !}=252$ ways
Total cases when two coins are tossed for 5 time $=2^{10}=1024$
Chance that there will be $5$ heads and $5$ tails is $=\frac{252}{1024}=\frac{63}{256}$
Standard 11
Mathematics