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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B) 7n−3=n+4
In this case, 'n' is used in place of the word 'number'. 'Product' refers to multiplication, so we multiply n by 7. 3 LESS refers to subtraction, so we subtract 3 from 7n. Then, we know that the solution to that is four more than what the actual number is. MORE refers to addition, so we add 4 to n.
Answer:
rectangle
Step-by-step explanation:
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Step-by-step explanation:
