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bagirrra123 [75]
2 years ago
6

Anne is a tailor and decides to evaluate her business to target potential customers with advertisements. She found that for ever

y 12 women's dresses she alters, she alters 54 men's suits. Write this as a ratio in its simplest form.
Mathematics
1 answer:
Oksana_A [137]2 years ago
8 0

Answer:

2/9

Step-by-step explanation:

The ratio is 12/54 which can be simplified by dividing the numerator and denominator by 6 to get 2/9

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Answer:

Choice number one:

\displaystyle \frac{5}{10}\cdot \frac{4}{9}.

Step-by-step explanation:

  • Let A be the event that the number on the first card is even.
  • Let B be the event that the number on the second card is even.

The question is asking for the possibility that event A and B happen at the same time. However, whether A occurs or not will influence the probability of B. In other words, A and B are not independent. The probability that both A and B occur needs to be found as the product of

  • the probability that event A occurs, and
  • the probability that event B occurs given that event A occurs.

5 out of the ten numbers are even. The probability that event A occurs is:

\displaystyle P(A) = \frac{5}{10}.

In case A occurs, there will only be four cards with even numbers out of the nine cards that are still in the bag. The conditional probability of getting a second card with an even number on it, given that the first card is even, will be:

\displaystyle P(B|A) = \frac{4}{9}.

The probability that both A and B occurs will be:

\displaystyle P(A \cap B) = P(B\cap A) =  P(A) \cdot P(B|A) = \frac{5}{10}\cdot \frac{4}{9}.

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