Home
Class 12
MATHS
A person throws two pair dice. He wins R...

A person throws two pair dice. He wins Rs. 15 for throwing a doublet (same numbers on the two dice), wins Rs. 12 when the throw results in the sum of 9, and loses Rs.6 for any other outcome on the throw. Then the expected gain/loss (in Rs.) of the person is:

A

A. `1/2` gain

B

B.`1/4` loss

C

C. 2 gain

D

D. `1/2` loss

Text Solution

Verified by Experts

The correct Answer is:
D

Expectationi `=15/6+12/9-6xx26/36=(15+8-26)/6=-1/2`
Promotional Banner

Topper's Solved these Questions

  • QUIZ

    VMC MODULES ENGLISH|Exercise MATHEMATICS|30 Videos

  • REVISION TEST-2 JEE

    VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

In a game, a man wins Rs 100 if he gets 5 or 6 on a throw of a fair die and loses Rs 50 for getting any other number on the die. If he decides to throw the die either till he gets a five or a six or to a maximum of three throws, then his expected gain/loss (in rupees) is: (a) 400/3 gain (b) 400/9 loss (c) 0 (d) 400/3 loss

In a game, a man wins Rs 100 if he gets 5 or 6 on a throw of a fair die and loses Rs 50 for getting any other number on the die. If he decides to throw the die either till he gets a five or a six or to a maximum of three throws, then his expected gain/loss (in rupees) is: (a) 400/3 gain (b) 400/9 loss (c) 0 (d) 400/3 loss

In a single throw of two dice , what is the probability of a doublet of even number

In a single throw of two dice, determine the probability of not getting the same number on both the dice.

In one throw of two dice together, find the probability of getting: (i) a sum of 5 (ii) same number on two dice

The sum of numbers on two throws of a dice is 8. Find the probability of getting 3 in at least one throw.

Find the probability of getting the same number of two dice in a single throw of two dice.

Given that the two numbers appearing on throwing two dice are different. Find the probability of the event the sum of numbers on the dice is 4.

A person throws two dice, one the common cube and the other a regular tetrahedron, the number on the lowest face being taken in the case of the tetrahedron, then find the probability that the sum of the numberd appearing on the dice is 6.

It is know that the numbers getting in one throw of two dice are different. Find the probability of getting a sum of 6.

VMC MODULES ENGLISH-REVISION TEST-15 JEE - 2020-MATHEMATICS
  1. If alpha, beta and gamma are three consecutive terms of a non-constant...

    Text Solution

    |

  2. If a(1), a(2), a(3),... are in AP such that a(1) + a(7) + a(16) = 40, ...

    Text Solution

    |

  3. A person throws two pair dice. He wins Rs. 15 for throwing a doublet (...

    Text Solution

    |

  4. If the equation cos 2x+alpha sinx=2alpha-7 has a solution. Then range ...

    Text Solution

    |

  5. If .^(20)C(1)+(2^(2)) .^(20)C(2) + (3^(2)).^(20)C(3) +......+(20^(2))....

    Text Solution

    |

  6. A straight line L at a distance of 4 units from the origin makes posit...

    Text Solution

    |

  7. A circle touching the X-axis at (3, 0) and making a intercept of leng...

    Text Solution

    |

  8. Let alpha epsilon R and the three vectors veca=alpha hati+hatj+3hatk, ...

    Text Solution

    |

  9. The derivative of tan^(-1) ((sinx -cosx)/(sinx +cosx)), with respect t...

    Text Solution

    |

  10. Let f(x)=5-|x-2| and g(x)=|x+1|, x in R. If f(x) attains maximum value...

    Text Solution

    |

  11. Let alpha in (0, pi/2) be fixed. If the integral int(tan x + tan alpha...

    Text Solution

    |

  12. A group of students comprises of 5 boys and n girls. If the number of ...

    Text Solution

    |

  13. For an initial screening of an admission test, a candidate is given fi...

    Text Solution

    |

  14. The Boolean expression ~(p rArr (~q)) is equivalent to:

    Text Solution

    |

  15. The term independent of x in the expansion of ((1)/(60)-(x^(8))/(81))....

    Text Solution

    |

  16. A triangle having a vertex as (1,2) has mid-point of sides passig from...

    Text Solution

    |

  17. Value of underset(xrarr0)lim(x+2si n x)/(sqrtx^(2)+2sinx+1)-sqrt(x-sin...

    Text Solution

    |

  18. If the area (in sq. units) bounded by the parabola y^(2) = 4 lambda x ...

    Text Solution

    |

  19. The length of the perpendicular drawn from the point (2, 1, 4) to the ...

    Text Solution

    |

  20. The general solution of the differential equation (y^(2)-x^(3)) dx - x...

    Text Solution

    |