Verified Solution • 2025–26 Session moderate

QJEEM19Ma1243: JEE Main 2019 Mathematics - Class 12 JEEM19Ma1243 Solution: In a random experiment, a fair die is rolled until two fours…

In a random experiment, a fair die is rolled until two fours are obtained in succession. The probability that the experiment will end in the fifth throw of the die is equal to :

Multiple Choice Options

  • A 20065{{200} \over {{6^5}}}
  • B 22565{{225} \over {{6^5}}}
  • C 15065{{150} \over {{6^5}}}
  • D 17565{{175} \over {{6^5}}}

Step-by-Step Verified Solution

‾   ‾   ‾  4‾  4‾\underline {} \,\,\,\underline {} \,\,\,\underline {} \,\,\underline 4 \,\,\underline 4

162(5363+2C1.5263)=17565{1 \over {{6^2}}}\left( {{{{5^3}} \over {{6^3}}} + {{2{C_1}{{.5}^2}} \over {{6^3}}}} \right) = {{175} \over {{6^5}}}

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