2. 6 For For multiplied probabilities, also determine if they individual probabilities should be added or multiplied. probability as a reduced fraction. Tivo bags contain marbles. The first and 2 blue marbles. What 4 red, 3 green, and 3 blue marbles; the second bag has a a red marble and then a green marble from the first bagility of dravis \( \qquad \) 2. a marble that is not green from each bag ? I2. a blue or a green marble from the first bag 23. a red and then a blue marble from the second bag with replacement 24. two green marbles in a row from the second bag without replacement \( \square \) 10 A card game has 2 stacks of cards. The first stack has 12 good cards, 5 useless

Did you know that the concept of probability has roots stretching back to the 16th century? Pioneering mathematicians like Gerolamo Cardano and Pierre de Fermat were among the first to explore the mathematics behind games of chance, creating a foundation that eventually led to the development of modern probability theory. It’s fascinating how their work paved the way for everything from gambling strategies to risk assessment in economics! In the real world, understanding probability is crucial for decision-making across various fields. For instance, in medicine, doctors rely on probabilistic evaluations to determine treatment plans and understand the possible outcomes of surgeries. Similarly, businesses use probabilistic models to assess risks and optimize their operations. So, whether it’s choosing the best course of treatment or making investment decisions, probability plays a key role in our everyday lives!