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A fair die is rolled 5 times. An experiment is conducted which terminates when two consecutive 4 are obtained. Then probability that the experiment ends in 5th roll is Regards Amit SIngh

A fair die is rolled 5 times. An experiment is conducted which terminates when two consecutive 4 are obtained. Then probability that the experiment ends in 5th roll is
 
Regards 
Amit SIngh 

Grade:

1 Answers

Arun
25758 Points
3 years ago
Dear student
 
P (_ _ _ 44) = P (4 _ _ 44) + P(not4 _ _ 44)
 = 1/6 * 5/6 *5/6 * 1/6 * 1/6 + 5/6 * 6/6 * 5/6 * 1/6 * 1/6 = 25/ 6^5 + 25 / 6 ^4 = 175/ 6^5

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