### Probability Scenario Involving Coins#### Problem Statement1. A friend of yours shows you a bag with 3 coins in it. The first of the coins is a fair coin, and second is a weighted coin with a probability of 0.6 of coming up heads, and the third coin is a double-sided coin, with both sides being heads. Suppose a coin is selected at random, flipped, and comes up heads. a. **Construct a tree diagram for this problem scenario.** b. **What is the probability of obtaining heads?**#### Explanation and SolutionTo solve this problem, we need to understand the different probabilities associated with each coin and then calculate the overall probability of obtaining heads when a coin is selected randomly.**a. Construct a tree diagram for this problem scenario.**The tree diagram helps us visually represent the different paths that can be taken based on the choice of coin and the result of the flip. Here is how we can construct it:1. **First Level - Choice of Coin:** - Fair Coin (C1) - Weighted Coin (C2) - Double-sided Coin (C3) 2. **Second Level - Outcome of the Flip:** - For Fair Coin (C1): - Heads (H) with probability 0.5 - Tails (T) with probability 0.5 - For Weighted Coin (C2): - Heads (H) with probability 0.6 - Tails (T) with probability 0.4 - For Double-sided Coin (C3): - Heads (H) with probability 1 - Tails (T) with probability 0Here is a graphical representation:``` (Coin Choice) / | \ / | \ / | \ C1 C2 C3 | | | (0.5) H (0.6) H (1) H | | | (0.5) T (0.4) T (0) T```**b. What is the probability of obtaining heads?**To find the overall probability of obtaining heads, we calculate the sum of the product of probabilities for each path that ends in heads:1. Probability of selecting Fair Coin (C1) and getting

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Description: ### Probability Scenario Involving Coins#### Problem Statement1. A friend of yours shows you a bag with 3 coins in it. The first of the coins is a fair coin, and second is a weighted coin with a probability of 0.6 of coming up heads, and the third c

As per the scenario, Tree diagram is shown below

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1. A friend of yours shows you a bag with 3 coins in it. The first of the coins is a fair coin, and second is a weighted coin with a probability of 0.6 of coming up heads, and the third coin is a double-sided coin, with both sides being heads. Suppose a coin is selected at random, flipped and comes up heads. a. Construct a tree diagram for this problem scenario. b. What is the probability of obtaining heads?

1. A friend of yours shows you a bag with 3 coins in it. The first of the coins is a fair coin, and second is a weighted coin with a probability of 0.6 of coming up heads, and the third coin is a double-sided coin, with both sides being heads. Suppose a coin is selected at random, flipped and comes up heads. a. Construct a tree diagram for this problem scenario. b. What is the probability of obtaining heads?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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