Q4. One evening, Bob think that he wants to buy a game. So, he decided to toss a coin whether he should buy this or not. But as he wanted to buy the game badly so he thought why not try a biased coin. So, he flips the coin and thought if it's head then he will buy if not then he won't. Here, the head is 3 times as likely as occur as tail and the coin is tossed thrice. (a) Find the probability distribution of number of tails. (b) Now, if the coin is toss 10 times then find what is the probability of getting at least 2 heads.

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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Q4. One evening, Bob think that he wants to buy a game. So, he decided to toss a coin
whether he should buy this or not. But as he wanted to buy the game badly so he thought
why not try a biased coin. So, he flips the coin and thought if it's head then he will buy if
not then he won't. Here, the head is 3 times as likely as occur as tail and the coin is
tossed thrice.
(a) Find the probability distribution of number of tails.
(b) Now, if the coin is toss 10 times then find what is the probability of getting at least
2 heads.
Transcribed Image Text:Q4. One evening, Bob think that he wants to buy a game. So, he decided to toss a coin whether he should buy this or not. But as he wanted to buy the game badly so he thought why not try a biased coin. So, he flips the coin and thought if it's head then he will buy if not then he won't. Here, the head is 3 times as likely as occur as tail and the coin is tossed thrice. (a) Find the probability distribution of number of tails. (b) Now, if the coin is toss 10 times then find what is the probability of getting at least 2 heads.
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