Inside a bag, there are 5 quarters, 2 nickels, and 4 dimes.   Two coins are randomly drawn without replacement.  Calculate the probability of drawing one quarter and one dime.  The tree diagram has been started below.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Inside a bag, there are 5 quarters, 2 nickels, and 4 dimes.   Two coins are randomly drawn without replacement.  Calculate the probability of drawing one quarter and one dime.  The tree diagram has been started below.

 

The image depicts a decision tree diagram used for probabilistic analysis. It consists of two levels of decision-making with associated probabilities.

### Description:

1. **First Level:**
   - Three initial options are presented in this sequence: Q, N, D.
   - The probabilities for these options are:
     - Q: \( \frac{5}{11} \)
     - N: \( \frac{2}{11} \)
     - D: \( \frac{4}{11} \)

2. **Second Level:**
   - Each option from the first level branches out into three further options: Q, N, D.
   - For the initial selection of 'Q':
     - Q: No additional probability indicated.
     - N: \( \frac{2}{10} \)
     - D: \( \frac{4}{10} \)

This decision tree shows how initial probabilities are set and how subsequent decisions are weighed, helping in structured decision-making or probabilistic forecasts.
Transcribed Image Text:The image depicts a decision tree diagram used for probabilistic analysis. It consists of two levels of decision-making with associated probabilities. ### Description: 1. **First Level:** - Three initial options are presented in this sequence: Q, N, D. - The probabilities for these options are: - Q: \( \frac{5}{11} \) - N: \( \frac{2}{11} \) - D: \( \frac{4}{11} \) 2. **Second Level:** - Each option from the first level branches out into three further options: Q, N, D. - For the initial selection of 'Q': - Q: No additional probability indicated. - N: \( \frac{2}{10} \) - D: \( \frac{4}{10} \) This decision tree shows how initial probabilities are set and how subsequent decisions are weighed, helping in structured decision-making or probabilistic forecasts.
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