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Margarita [4]
3 years ago
15

Kyle wants to earn as many points as possible in one turn in a game. Two number cubes whose sides are numbered 1 through 6 are r

olled. He is given two options for the manner in which points are awarded in the turn. OPTION A: If the sum of the rolls is a prime number, Kyle receives 15 points. OPTION B: If the sum of the rolls is a multiple of 6, Kyle receives 42 points. Which statement best explains the option he should choose?
Mathematics
1 answer:
qwelly [4]3 years ago
5 0

Answer:

Kyle should choose Option B. The mathematical expectation of this option is 7 and is the greater mathematical expectation of the two options.

Step-by-step explanation:

i took the k-12 quiz

goodluck

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Option 2

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With Option 1, she would have saved 300 + 50 * 11 = $850. We do 50 * 11 and not 50 * 12 because she deposits $50 for 11 months, not 12.

With Option 2, she would have saved 5 * 3¹¹ = $885735. Note that we do 3¹¹ and not 3¹² because 5 is being tripled 11 times.

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Additionally, we can notice that Option 1 is an example of an arithmetic sequence whereas Option 2 is an example of a geometric sequence. Their explicit formulas would be aₙ = 50n + 250 and aₙ = 5 * 3⁽ⁿ⁻¹⁾ respectively.

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Hope I helped,

-Adrian Velez

Step-by-step explanation:

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