• anonymous
In "The Numbers Game," a state lottery, four numbers are drawn with replacement from an urn containing the digits 0-9, inclusive. Find the probability of a ticket holder having a winning ticket consisting of two specified, consecutive digits in exact order (the first two digits, the middle two digits, or the last two digits).
  • Stacey Warren - Expert
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
  • schrodinger
I got my questions answered at in under 10 minutes. Go to now for free help!
  • anonymous
What's the total number of possible drawings? Since there are 4 numbers and 10 possible digits for each, you have 10^4 total drawings. Case 1: First two digits are consecutive (I'm assuming consecutive can mean 1,2 or 1,0). The first number has 10 possibilties, the second number must be wither one up or one down, so two possibilities. The third and fourth number still have 10 possibilites ( unless no other pairs can be consecutive, in which case the third number has 9 possibilities and the fourth has 8 possibilites.) The cases for the middle two and last two will be similar. Add up these possibilities and divide by the total number of possible drawings. This is the rough idea, you might have to consider edge cases and whatnot since the problem was ill-defined.

Looking for something else?

Not the answer you are looking for? Search for more explanations.