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KiRa [710]
3 years ago
11

8-4 1/2??????????????????????????????????

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0

Answer:

\frac{7}{2}

Step-by-step explanation:

  1. 4\frac{1}{2} = \frac{9}{2}  
  2. \frac{8}{1} = \frac{16}{2}  
  3. \frac{16}{2} - \frac{9}{2} = \frac{7}{2}  

I hope this helps!

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P(B/A) is \frac{5}{9} in the simplest form

Step-by-step explanation:

Let us explain how to solve the problem

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∵ There are 3 red marbles, 5 green marbles, and 2 blue

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∴ The total number of the marbles in the jar = 3 + 5 + 2 = 10

∵ Two marbles are drawn from the bag, one after the other without

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- That means red is already occurred when green is happened,

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  P(B/A) = P(A and B)/P(A)

∵ Event A is defined as drawing a red marble from the jar on

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∴ P(A) = P(red)

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∴ P(B) = P(green)

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∵ P(green) = \frac{5}{9}

∴ P(B) = \frac{5}{9}

- Find P( A and B)

∴ P(A and B) = ( \frac{3}{10} ) . ( \frac{5}{9} )

∴ P(A and B) = \frac{15}{90}

- Simplify the fraction by divide up and down by 15

∴ P(A and B) = \frac{1}{6}

∵ P(B|A) = P(A and B)/P(A)

- Substitute the values of P(A and B) and P(A) in the rule above

∴ P(B/A) = \frac{\frac{1}{6}}{\frac{3}{10}}

- Simplify the fraction

∵ \frac{1}{6} ÷ \frac{3}{10} = \frac{1}{6} × \frac{10}{3} = \frac{10}{18}

- Divide up and down by 2

∴ P(B/A) = \frac{5}{9}

P(B/A) is \frac{5}{9} in the simplest form

Learn more:

You can learn more about probability in brainly.com/question/10744457

#LearnwithBrainly

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