A sealed, opaque and weightless box contains marbles of uniform weight and no more than 61 in number. I give you a precision two-pan balance and offer you $50 to tell me how many marbles the box contains. You may purchase any number of calibrated weights at $10 each and in units of your choice to assist you. Postage and handling for the calibrated weights is a flat $2 charge.

Will you accept the offer, and what is your reasoning?

Posted (edited)

A sealed, opaque and weightless box contains marbles of uniform weight and no more than 61 in number. I give you a precision two-pan balance and offer you $50 to tell me how many marbles the box contains. You may purchase any number of calibrated weights at $10 each and in units of your choice to assist you. Postage and handling for the calibrated weights is a flat $2 charge.

Will you accept the offer, and what is your reasoning?

Edited by bonanovaChange "bag" to "box."

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