Home
Class 12
MATHS
A and B toss a coin alternately till one...

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

A

`1//2`

B

`1//3`

C

`1//4`

D

`1//5`

Text Solution

Verified by Experts

The correct Answer is:
2

`P(A_("mains"))=(1)/(2)+((1)/(2))^(3)+((1)/(2))+..oo`
`=((1)/(2))/(1-(1)/(4))=(2)/(3)`
`P(B_("mains"))=1-(2)/(3)=(1)/(3)`
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 1

    CAREER POINT|Exercise PART (C) - MATHS|30 Videos

  • MOCK TEST 2

    CAREER POINT|Exercise PART ( C)- MATHS|30 Videos

Similar Questions

Explore conceptually related problems

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

(i) A and B toss a coin alternately till one of them tosses a head and wins the game. If A starts the game, find their respective probability of winning. (ii) A and B throw a coin alternately till one of them gets a 'head' and wins the game. If A starts the game, find the probability of his winning at his third throw.

Two persons A and B throw a coin alternatively till one of them gets head and wins the game. Find their respective probabilities of winning.

A,B and C toss a coin one after another. Who ever gets head list will win the game.If A starts the game the probability of Al's winning is

Two persons A and B throw a die alternatively till one of them gets a three and wins the game. Find their respective probabilites of winning.

CAREER POINT-MOCK TEST 10-PART (C) - MATHS
  1. if y=tan^(-1)x+"tan"^(-1)(1)/(x)+sec^(-1)x,then" "yin

    Text Solution

    |

  2. A student is to answer 10 out of 13 questions in an examination such t...

    Text Solution

    |

  3. One of the roots of the equation 8x^(3)-6x+1=0 is

    Text Solution

    |

  4. In the interval [-pi/2,pi/2] the equation log(sin theta)(cos 2 theta)=...

    Text Solution

    |

  5. Let f(x)=(x^(2)-3x+2)(x^(3)-6x^(2)+11x-6)|+|sin(x+(pi)/(4))| The set...

    Text Solution

    |

  6. Let p : price increases q : Demand falls The symbolic statements fo 'i...

    Text Solution

    |

  7. Angle of elevation of top of a tower from a point 'A' due E30^(@)N of ...

    Text Solution

    |

  8. In an experiment with 15 observations of x the following results were ...

    Text Solution

    |

  9. The shortest distance between line (x-3)/(3)=(y-8)/(-1)=(z-3)/(1) and ...

    Text Solution

    |

  10. Ratio of volumes of tetrahedrons having coterminus edees bara+barb,bar...

    Text Solution

    |

  11. Table IfDelta(r)=|{:(,(2r), x, N(N+1)),(,(6r^(2)-1),y, N^(2)(2N+3)),...

    Text Solution

    |

  12. If x=acostheta,y=bsintheta," then"(d^(3)y)/(dx^(3)) is equal to

    Text Solution

    |

  13. The circles ax^(2)+ay^(2)+2g(1)x+2f(1)y+c(1)=0" and "bx^(2)+by^(2)+2g(...

    Text Solution

    |

  14. If A B is a focal chord of x^2-2x+y-2=0 whose focus is S and A S=l1, t...

    Text Solution

    |

  15. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2) eq...

    Text Solution

    |

  16. The area bounded by the curve y=[x^2/64+2],y=x-1,y=x-1 and x=0 above t...

    Text Solution

    |

  17. If the function f(x) = x^3 + 3(1-7)x^2 +3(a^2-9)x-1 has a positive ...

    Text Solution

    |

  18. The range of f(x)=[1+sinx]+[2+s in2/x]+[3+s in x/3]++[n+s in x/n]AAx i...

    Text Solution

    |

  19. If sum (1)/(7)+(1.3)/(7.9)+(1.3.5)/(7.9.11)+..... up to 20 terms is eq...

    Text Solution

    |

  20. A and B toss a coin alternately till one of them gets a head and wins ...

    Text Solution

    |