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irga5000 [103]
3 years ago
9

List all the ways to select two members from S with repetition. The order in which the members are selected is not important. Fo

r example, DD is allowed and BA is the same selection as AB.
S = (K,L,M,N,P)
Identify the list of all the ways to select two members from S, allowing for repetition.
Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0

9514 1404 393

Answer:

  KK KL KM KN KP LL LM LN LP MM MN MP NN NP PP

Step-by-step explanation:

Instead of starting with adjacent letters in the list, we start with the same letter. There are 15 possible pairs.

  KK KL KM KN KP LL LM LN LP MM MN MP NN NP PP

__

<em>Additional comment</em>

We leave out pairs with letters previous, because you've said KL is the same as LK, and KL has already been listed. The problem with this list is that it misstates the probabilities of randomly obtaining a given pair. It is not 1/15, but is 2/25 for all but letter duplicates. For duplicates (KK), the probability is 1/25, not 1/15.

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3 years ago
180 students in a tenth grade high school class take a survey about which video game consoles they own.
Fantom [35]

Answer:

P(A) = 44.44%

P(B) = 50%

P(B|A) = 37.5%

P(B|A) different from P(B).

A and B are independent.

Step-by-step explanation:

If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%

If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%

If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%

To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%

P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.

5 0
3 years ago
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Wewaii [24]

Answer:

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13x+89-89 = 180-89

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Divide by 13

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7*7+6 = 49+6 = 55

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3 years ago
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