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3. You have four biased coins each with p(head)=0.4 a) If you toss all of them simultaneously, what is the probability that results of all the coins will be tails? b) Let's say you are playing a game where you repeat the process. For each round, you will toss all the coins. If at some round you get all four tails, you stop playing. What would be the probability to play exactly 7 rounds? c) If we decide to run ten trials of tossing coins, what is the probability of getting all four tails in at least two of those trials?

3. You have four biased coins each with p(head)=0.4 a) If you toss all of them simultaneously, what is the probability that results of all the coins will be tails? b) Let's say you are playing a game where you repeat the process. For each round, you will toss all the coins. If at some round you get all four tails, you stop playing. What would be the probability to play exactly 7 rounds? c) If we decide to run ten trials of tossing coins, what is the probability of getting all four tails in at least two of those trials?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3. You have four biased coins each with p(head)=0.4 a) If you toss all of them simultaneously, what is the probability that results of all the coins will be tails? b) Let's say you are playing a game where you repeat the process. For each round, you will toss all the coins. If at some round you get all four tails, you stop playing. What would be the probability to play exactly 7 rounds? c) If we decide to run ten trials of tossing coins, what is the probability of getting all four tails in at least two of those trials?
Transcribed Image Text:3. You have four biased coins each with p(head)=0.4 a) If you toss all of them simultaneously, what is the probability that results of all the coins will be tails? b) Let's say you are playing a game where you repeat the process. For each round, you will toss all the coins. If at some round you get all four tails, you stop playing. What would be the probability to play exactly 7 rounds? c) If we decide to run ten trials of tossing coins, what is the probability of getting all four tails in at least two of those trials?
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