A man throws a fair coin repeatedly. He gets \(10\) points for each head he throws and \(5\) points for each tail he throws. If the probability that he gets exactly \(30\) points is \(\frac{m}{n},\gcd (m,n)=1\), then \(m+n\) is equal to:

[JEE Main 2026, 2 Apr (Shift 2)]

Question

A man throws a fair coin repeatedly. He gets \(10\) points for each head he throws and \(5\) points for each tail he throws. If the probability that he gets exactly \(30\) points is \(\frac{m}{n},\gcd (m,n)=1\), then \(m+n\) is equal to:

[JEE Main 2026, 2 Apr (Shift 2)]

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A man throws a fair coin repeatedly. He gets \(10\) points for each head he throws and \(5\) points for each tail he thr…

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