English
Hindi
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

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