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14.Probability
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એક સિક્કાને $10$ વાર ઉછાળતાં છ વાર હેડ (છાપ) આવવાની સંભાવના કેટલી થાય ?
A
$512/513$
B
$105/512$
C
$100/153$
D
$3/5$
Solution
Let $x$ be the number of heads that appeared in tossing a coin 10 times.
And let $p=1 / 2, q=1 / 2, n=10, x=6$
By using the binomial distribution, the probability of getting exactly $6$ heads
$={ }^{10} C _6\left(\frac{1}{2}\right)^6\left(\frac{1}{2}\right)^{10-6}$
$={ }^{10} C _6\left(\frac{1}{2}\right)^6\left(\frac{1}{2}\right)^4$
$=210 / 1024$
$=105 / 512$
Standard 11
Mathematics
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