For three fair six-sided dice, the possible sum of the faces rolled can be any digit from 3 to 18.
For instance the minimum sum occurs when all three dices shows 1 (i.e. 1 + 1 + 1 = 3) and the maximum sum occurs when all three dces shows 6 (i.e. 6 + 6 + 6 = 18).
Thus, there are 16 possible sums when three six-sided dice are rolled.
Therefore, from the pigeonhole principle, <span>the minimum number of times you must throw three fair six-sided dice to ensure that the same sum is rolled twice is 16 + 1 = 17 times.
The pigeonhole principle states that </span><span>if n items are put into m containers, with n > m > 0, then at least one container must contain more than one item.
That is for our case, given that there are 16 possible sums when three six-sided dice is rolled, for there to be two same sums, the number of sums will be greater than 16 and the minimum number greater than 16 is 17.
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100% = 1.00 is the cost of the jeans itself
6% = 0.06 is the sales tax to be added
let "cost of jeans" be represented by x
so you will get an expression
(1.00 + 0.06) x + 8.95 = Total Cost
Answer:
206 2/3 ft³
Step-by-step explanation:
The volume of this solid is given by V = (1/3)(base area)(height).
Here, V = (1/3) (62 ft²) (10 ft ) = 206 2/3 ft³
Series = <span>{2, 5 ,6, 7, 15, 16, 17}
Here, Median = 7
Then Q3 = </span><span>{15, 16, 17}
Median of Q3 = 16
In short, Your Answer would be: 16
Hope this helps!</span>
