91Ó°ÊÓ

One ticket will be drawn at random from each of the two boxes shown below: \(( \mathrm { A } ) \lfloor [ 1 ] [ 2 ] [ 3 ]\) \(( \mathrm { B } ) \lfloor [ 1 ] [ 2 ] [ 3 ] [ 4 ]\) Find the chance that: (a) The number drawn from A is larger than the one from B. (b) The number drawn from A equals the one from B. (c) The number drawn from A is smaller than the one from B.

There are two options: (i) A die will be rolled 60 times. Each time it shows an ace or a six, you win \(\$ 1 ;\) on the other rolls, you win nothing. (ii) Sixty draws will be made at random with replacement from the box \([ [ 1 ] [ 1 ] [ 1 ] [ 0 ] [ 0 ] [ 0 ] ] .\) On each draw, you will be paid the amount shown on the ticket, in dollars. Which option is better? or are they the same? Explain briefly.