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

Learn Class XI-XII Tuition (PUC)

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

The change in resistivity per unit original resistivity (or resistance) per degree change in temperature is called __________. (Resistance, Conductance, Temperature coefficient of resistivity, All of these)
Temperature coefficient of resistivity
Narendra Kumar
0 0
7
When an electron in hydrogen atom jumps from higher orbit into second orbit. The set of lines emitted is called __________. (Balmer Series, Lyman Series, Bracket Series, Paschen Series)
Balmer Series
Narendra Kumar
0 0
8
for online tuition which browser or software should used for better and easy understanding of online students.
Both.. And if possible some other books as well, for reference. Good luck.
Amir Imam
Banks are providing a wide range of services nowadays. Do you agree?
Yes, banks provide a vide range of services like accepting deposits, lending of advances, honouring financial instrumrnts like cheques, demand drafts, bills etc. Nowadays banks are also providing services...
Rishav
What is chemical bond? Do you know about polarisability?
When two oppositely charged ions (say A+ and B- ) approach each other the positive ion attracts electrons on the outermost shell of the anion and repels its positively charged nucleus. This results in...
Sharmila

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

Ask a Question

Related Lessons

What is calculus?
The name never comes to our imagination until we clear 10th Boards.The moment we enter 11th class or Intermediate of Science the words pops up from nowhere and haunts us like nothing. Every student had...

Pranay Pratap

0 0
0
Algebra (JEE - Main )
Question: A sequence of numbers is written in the following fashion: 1, 7, 1, 1, 7, 7, 1, 1, 1, 7, 7, 7, ... till ‘n’ terms. The sum of first 5001 terms of the given sequence is, a) 5001...

Sujoy Das

0 0
0
Rolle's theorem in Calculus explained
Rolle's theorem is slightly different from Mean Value Theorem explained as simple as possible If a real valued function f(X) is continuous over a closed interval Function is differentiable over...

B.sudhakar

6 0
1
Solids- 2 PUC Chemistry
Classification of Crystalline Solids Based on the nature of intermolecular forces, crystalline solids are classified into four categories − Molecular solids Ionic solids Metallic solids Covalent...
S

Sowmya B.

0 0
0
Introduction To Accounting: Part 2: Book Keeping, Accounting And Accountancy
Book Keeping: Book Keeping is mainly concerned with record keeping or maintenance of books of accounts. The maintenance of books of accounts includes the following four activities: Identifying the...

Nishant Kumar

0 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 Mumbai
Class 12 Tuition in Kolkata
Class 12 Tuition in Pune
Class 12 Tuition in Noida
Class 12 Tuition in Jaipur
Class 12 Tuition in Lucknow
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