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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A linear pair is two angles that are adjacent and whose non-common sides form a straight line. If two angles are a linear pair, then they are supplementary.
Answer:
The function rule for x is +1 and y is -5
Step-by-step explanation:
The function rule is basically the change for the set of numbers, like how x = 1, 2, 3, the function rule is +1, it's just the rate of change for the set of numbers.
Answer:
<h2>36</h2>
Step-by-step explanation:
The median is the value that separates the higher half from the bottom half of the data sample (middle value).
We have
34, 36, 30, 37, 40, 30, 42
Write from the smallest to the largest number
30, 30, 34, 36, 37, 40, 42
