One play in a state lottery consists of choosing 6 numbers from 1 to 44. If your
ID: 3219856 • Letter: O
Question
One play in a state lottery consists of choosing 6 numbers from 1 to 44. If your 6 numbers are drawn (in any order), you win the jackpot. (a) How many possible ways are there to draw the 6 numbers? (b) If you get 2 plays for a dollar, how much would it cost to guarantee that one of your choices would be drawn? (c) Assuming that you work alone and can fill out a betting ticket (for 2 plays) every second, and assuming that the lotto drawing will take place 3 days from now, can you place enough bets to guarantee that 1 of your choices will be drawn?Explanation / Answer
a) No. of ways = 44C6 = 44*43*42*41*40*39/720 = 7059052
b) In one dollar we get 2 plays.
No. of plays required = 7059052
No of dollars = 7059052/2 = 3529526
c) We get 2 plays in every second.
No of seconds required = 7059052/2 = 3529526
In 3 days we have 24*60*60*3 seconds = 259200
Since 3529526>259200, we cannot place enough bets to guarantee a win.
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