A person starting with 64 rupees and making 6 bets wins three times and loses three times the wins a...........

Quantitative Aptitude ( CCS) Probability

A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is:

a gain of Rs 27

a loss of Rs 37

neither gain nor a loss

a gain or a loss depending upon the order in which the wins and losses occur

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Explanation:

As the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply initial amount by 1.5 thrice and by 0.5 thrice (in any order).

The overall resultant will remain same.

So final amount with the person will be (in all cases):

=64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)=

Rs 27

Hence the final result is:

64−27=37

A loss of Rs 37

Hence, option 2 is the correct answer.