Pre-calc Final Flashcards

1
Q

What is the definition of probability

A

Probability= # of desired outcomes/total # of outcomes

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2
Q

What is the equation for an or statement in probability

A

P(a) + P(b) - P(a&b) = P(a or b)

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3
Q

What does the “c” mean in a sample set problem

A

Compliment - everything that is included in the universe but excluding the given

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4
Q

What do you do for P(a&b)

A

Multiply

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5
Q

What do you do for P(a or b)

A

Add

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6
Q

How do you find independence

A

P(a|b) = P(a)

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7
Q

What is the summation notation for a constant

A

Constant x n

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8
Q

What is the summation notation formula for i

A

n(n+1)/2

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9
Q

What is the summation notation formula for i^2

A

n(n+1)(2n+1)/6

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10
Q

What is the summation notation formula for i^3

A

n^2(n+1)^2/4

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11
Q

What is the formula for an arithmetic sequence

A

An = A1 + (n-1)d

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12
Q

What is the formula for an arithmetic series

A

Sn = n/2(A1+An)

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13
Q

What is the formula for a geometric sequence

A

An = A1 x r^(n-1)

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14
Q

What is the sum formula for a geometric series

A

Sn = A1(1-r^n)/(1-r)

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15
Q

What is the sum infinite formula

A

Sn = A1/(1-r)

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16
Q

What is the formula for permutations

A

n!/(n-r)!

17
Q

What is the formula for combination

A

n!/((n-r)!r!)

18
Q

Anytime you have indistinguishable elements what formula do you use

A

n!/n1!n2!n3!…