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In a standard deck, there are 52 cards. Twelve cards are face cards (event F) and 40 cards are not face cards (event N). Draw two cards, one at a time, with replacement. All possible outcomes are shown in the tree diagram as frequencies. Using the tree diagram, calculate P(FF).

In a standard deck, there are 52 cards. Twelve cards are face cards (event F) and 40 cards are not face cards (event N). Draw two cards, one at a time, with replacement. All possible outcomes are shown in the tree diagram as frequencies. Using the tree diagram, calculate P(FF).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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  1.  In a standard deck, there are 52 cards. Twelve cards are face cards (event F) and 40 cards are not face cards (event N). Draw two cards, one at a time, with replacement. All possible outcomes are shown in the tree diagram as frequencies. Using the tree diagram, calculate P(FF).
**3.5 Practice** 1. **Problem 1:** In a standard deck, there are 52 cards. Twelve cards are face cards (event F) and 40 cards are not face cards (event N). Draw two cards, one at a time, with replacement. All possible outcomes are shown in the tree diagram as frequencies. Using the tree diagram, calculate P(FF). **Tree Diagram:** - **1st Draw:** - 12F (Face cards) - 40N (Non-face cards) - **2nd Draw (from 12F):** - 12F - 40N - **2nd Draw (from 40N):** - 12F - 40N **Outcomes:** - 144FF (Face card followed by Face card) - 480FN (Face card followed by Non-face card) - 480NF (Non-face card followed by Face card) - 1,600NN (Non-face card followed by Non-face card) 2. **Problem 2:** In a standard deck, there are 52 cards. Twelve cards are face cards (F) and 40 cards are not face cards (N). Draw two cards, one at a time, without replacement. The tree diagram is labeled with all possible probabilities. *(The image includes a tree diagram that should depict probabilities for each branch of drawing cards without replacement.)* The tree diagrams visually represent the process of drawing cards, with each branch indicating the outcome and its frequency or probability. This approach helps in understanding the calculations for probabilities in complex scenarios involving multiple steps or events.
Transcribed Image Text:**3.5 Practice** 1. **Problem 1:** In a standard deck, there are 52 cards. Twelve cards are face cards (event F) and 40 cards are not face cards (event N). Draw two cards, one at a time, with replacement. All possible outcomes are shown in the tree diagram as frequencies. Using the tree diagram, calculate P(FF). **Tree Diagram:** - **1st Draw:** - 12F (Face cards) - 40N (Non-face cards) - **2nd Draw (from 12F):** - 12F - 40N - **2nd Draw (from 40N):** - 12F - 40N **Outcomes:** - 144FF (Face card followed by Face card) - 480FN (Face card followed by Non-face card) - 480NF (Non-face card followed by Face card) - 1,600NN (Non-face card followed by Non-face card) 2. **Problem 2:** In a standard deck, there are 52 cards. Twelve cards are face cards (F) and 40 cards are not face cards (N). Draw two cards, one at a time, without replacement. The tree diagram is labeled with all possible probabilities. *(The image includes a tree diagram that should depict probabilities for each branch of drawing cards without replacement.)* The tree diagrams visually represent the process of drawing cards, with each branch indicating the outcome and its frequency or probability. This approach helps in understanding the calculations for probabilities in complex scenarios involving multiple steps or events.
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