A and B toss a coin alternately till one of them gets a head and wins the game. if A starts first , find the probability that B will win the game.

Asked by Last Modified  

6 Answers

Follow 1
Answer

Please enter your answer

Physics and Maths made easy

U.k. Akshay posted a question in Class XI-XII Tuition (PUC) Question: A and B toss a coin alternately till one of them gets a head and wins the game. if A starts first , find the probability that B will win the game. Answer: If ‘H’ denotes the event of head and ‘T’ denotes the event of tail, then the...
read more
U.k. Akshay posted a question in Class XI-XII Tuition (PUC) Question: A and B toss a coin alternately till one of them gets a head and wins the game. if A starts first , find the probability that B will win the game. Answer: If ‘H’ denotes the event of head and ‘T’ denotes the event of tail, then the sample space for B getting a head is an infinite series: T H [T (when A tossed the coin) followed by H (when B tossed the coin)] T T T H [T (when A tossed the coin) followed by T (when B tossed the coin) T (when A tossed the coin for second time) followed by H (when B tossed the coin for a second time)] T T T T T H T T T T T T T H … As the probability of obtaining T and H are identically (1/2) at a tossing of the coin, the overall probability that B will obtain head first is P = [(1/2)*(1/2)] + [(1/2)*(1/2)* (1/2)*(1/2)] + [(1/2)*(1/2)* (1/2)*(1/2)* (1/2)*(1/2)*] + … = (1/2)^2 + (1/2)^4+(1/2)^6 + … = (1/4) + (1/4)^2+(1/4)^3 + … (sum of successive, infinite terms of a geometric progression with first member =1/4 and common factor also =1/4) Therefore P = (1/4)*[1/(1-1/4)]= (1/3) read less
Comments
Dislike Bookmark

Tutor

if B win the game then then probability would be : (0.5)(0.5) + (0.5)^4 + (0.5)^6 +.... and so on. which is equal to 1/3. in the series, the first 0.5 is for loosing the game by A and second 0.5 is for winning the game by B and so on.
Comments
Dislike Bookmark

Education starts with us

A player has a 2/3 chance of winning, B's chances of winning are therefore 1/3
Comments
Dislike Bookmark

Tutor

1/3
Comments
Dislike Bookmark

Spoken English, BTech Tuition, C Language, C++ Language, CAD etc., with 4 years of experience

0.333
Comments
Dislike Bookmark

If ‘H’ denotes the event of head and ‘T’ denotes the event of tail, then the sample space for B getting a head is an infinite series.
Comments
Dislike Bookmark

View 4 more Answers

Related Questions

Vincent has a paper route. Each morning, he delivers 37 newspapers to customers in his neighborhood. It takes Vincent 50 minutes to deliver all the papers. If Vincent is sick or has other plans, his friend Thomas, who lives on the same street, will sometimes deliver the papers for him. A. Vincent and Thomas live in the same neighborhood. B. It takes Thomas more than 50 minutes to deliver the papers. C. It is dark outside when Vincent begins his deliveries. D. Thomas would like to have his own paper route.
A
Srikanth
0 0
7
What are the career options after 12th science PCM other than engineering?
Bachelor-Master then PhD
Sandeep
Sameer went on his bike from Delhi to Gurgaon at a speed of 60km/hr and came back at a speed of 40km/hr. What is his average speed for entire journey?
To find the average speed, you need to know the formula of average speed. The avg speed 0= 2 d / (t1+ t2) = 2 v1.v2/(V1 + V2). Just substitute the value.
Gowre
Biot-Savart’s law states the relation between magnetic intensity and a.) filament current only. b.) surface current only. c.) volume current only. d.) (A), (B), and (C) are all correct.
C
Kumar Upendra Akshay
What books can I refer to, help with communicative skills?
Read Word power made easy by Norman Lewis. It will help in your vocabulary
Bhuvana

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Computer Tution
Computer Tution near dhakuria railway station. Any class, any board. Rs 400 per month.

Dipan Mandal

0 0
0
Why electric field inside charged shell is zero

Gaurav Thapliyal

0 0
0
Solution to a integration problem
∫ x² /( x - 1) dx Let's subtract and add 1 to the numerator = ∫ {( x² - 1) + 1} / ( x - 1 ) dx = ∫ {( x + 1) • ( x - 1) / ( x - 1)} + {1 / ( x - 1)} dx = ∫ { ( x...

B.sudhakar

5 0
1
Indefinite Integration (Basics of Substitution Method)

Rahul Arora

0 0
0
Dissolution Of Partnership Firm - Questions
CHAPTER: 5 Q.1 Distinguish between dissolution of partnership and dissolution of partnership firm on the basis of continuation of business. Q.2 Why is Realisation Account prepared on dissolution of partnership...

Mahesh Kumar

1 0
0

Recommended Articles

Meet Radhe Shyam Burman, an MBA Tutor from...

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

Read full article >

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Find Class 12 Tuition near you
Class 12 Tuition in Delhi
Class 12 Tuition in Bangalore
Class 12 Tuition in Hyderabad
Class 12 Tuition in Chennai
Class 12 Tuition in Kolkata
Class 12 Tuition in Mumbai
Class 12 Tuition in Pune
Class 12 Tuition in Noida
Class 12 Tuition in Lucknow
Class 12 Tuition in Gurgaon
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you