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aliina [53]
3 years ago
12

Find the set below using A=(5,6,9), and so on (Explanation is in picture)

Mathematics
1 answer:
anzhelika [568]3 years ago
8 0

The result is: {5,6,9}

Step-by-step explanation:

Given

U = {0,1,2,......,10}

A = {5,6,9}

B = {0, 6, 7, 10}

We have to find

(A∩B)U(A∩B')

First of all,

<u>B':</u>

B' = U -B = {0,1,2,......,10} -  {0, 6, 7, 10}

= {1,2,3,4,5,8,9}

<u>A∩B':</u>

A∩B' = {5,6,9} ∩ {1,2,3,4,5,8,9}

= {5,9}

<u>A∩B:</u>

A∩B = {5,6,9} ∩ {0, 6, 7, 10}

={6}

At the end we have to find union

(A∩B)U(A∩B') = {6} U {5,9}

(A∩B)U(A∩B') = {5,6,9}

Hence,

The result is: {5,6,9}

Keywords: Sets , Union

Learn more about sets at:

  • brainly.com/question/3126500
  • brainly.com/question/3306327

#LearnwithBrainly

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Step-by-step explanation:

1*10=10

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4 years ago
M and N are independent events. P(M | N) = 0.71. Find P(M)
mash [69]

Since M and N are independent events, P(M)=P(M|N)=0.71

Step-by-step explanation:

Two events A and B are said to be independent when the probability of A happening does not depend on whether B has happened or not.

In other word, this condition can be rewrite as follows:

P(A|B)=P(A)

where

P(A|B) is the probability of A happening  given that B has happened

P(A) is the probability of A happening

In this problem, we have:

- M and N are independent events: so M does not depend on whether N occurs or not

Therefore,

P(M)=P(M|N)

- Also, we know that

P(M|N)=0.71

Therefore, it follows that

P(M)=0.71

Learn more about probability:

brainly.com/question/5751004

brainly.com/question/6649771

brainly.com/question/8799684

brainly.com/question/7888686

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