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Rita is choosing at random from a bag of colored marbles. The probability she will choose a blue marble is 25. What are the odds in favor of her choosing a blue marble?

Question

Rita is choosing at random from a bag of colored marbles. The probability she will choose a blue marble is 25. What are the odds in favor of her choosing a blue marble?

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Solution

The probability of an event is given by the ratio of the favorable outcomes to the total number of outcomes. In this case, the probability of choosing a blue marble is 25%.

The odds in favor of an event are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.

Step 1: Convert the probability to a fraction. 25% is equivalent to 25/100 or 1/4. This means that for every 4 marbles, 1 is blue.

Step 2: The odds in favor of choosing a blue marble is therefore 1 to 3 (1 blue marble for every 3 non-blue marbles).

So, the odds in favor of Rita choosing a blue marble are 1:3.

This problem has been solved

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