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A and B alternately throw a pair of dice. A wins if he throws a sum of 5 before B throws a sum of 8, and B wins if he th…

Q1

A and B alternately throw a pair of dice. A wins if he throws a sum of 5 before B throws a sum of 8, and B wins if he throws a sum of 8 before A throws a sum of 5. The probability, that A wins if A makes the first throw, is

[JEE Main 2025, 24 Jan (Shift 1)]

a

\(\frac{9}{17}\)

b

\(\frac{9}{19}\)

c

\(\frac{8}{17}\)

d

\(\frac{8}{19}\)

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