Answer:
There’s only one way to get 12 when 2 dice are tossed, both have to equal 6. There are 6 ways tossing a single die can come out (1,2,3,4,5,6), so if you toss dice, the second die could have any one of six values with each of the numbers that could result from the first toss (e.g., 1 from die 1 and 1,2,3,4,5, or 6 from die 2). So, considering there are 6 ways to fill each of two slots, there are 6 x 6 = 36 possible outcomes of tossing two dice. Only one of them equals 12, so p(12 given 2 dice tossed) = 1/36 = 0.02777777777778.
Ted:
4,000 @ 4.5% interest compounded annually
Alan:
1,000 @ 6% interest compounded annually
Rule of 72: divide 72 by the compound annual interest rate
Ted: 72/4.5% = 16 years
Alan: 72/6% = 12 years
<span>Alan will win. It will take 12 years.</span>
I think the answer is 56.81 seconds, the best time would just be the shortest time