Conditional Probability Exploration
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Conditional Probability Exploration 📊
Part 1: Understanding "If... Then" Statements
In a deck of cards, if you draw a red card, what is the probability it's a heart? Show your work below:
Part 2: Two-Way Tables 📋
Complete the two-way table for students who study Math and Science:
| Studies Math | Doesn't Study Math | Total | |
| Studies Science | 10 | ||
| Doesn't Study Science | |||
| Total | 15 | 27 |
Part 3: Tree Diagrams 🌳
Draw a tree diagram for drawing two marbles from a bag containing 3 red and 2 blue marbles, without replacement:
Part 4: Real-World Application 🌍
A weather app predicts tomorrow's weather. If it predicts rain, it's correct 80% of the time. If it predicts no rain, it's correct 90% of the time. What's the probability that:
a) It will actually rain, given that the app predicted rain?
b) The app predicted correctly, given that it rained?
Reflection ✍️
Explain in your own words how conditional probability is used in everyday life:
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