Home
Class 12
MATHS
In a dice game, a player pays a stake of...

In a dice game, a player pays a stake of ₹ 1 for each throw of a die. She receives ₹ 5 if the die shows a 3, ₹ 2 if the die shows a 1 or 6 and nothing otherwise. What is the player's expected profit per throw over a long series of throws ?

Text Solution

Verified by Experts

The correct Answer is:
0.50 paise
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions) |16 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions) |38 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work |37 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

Similar Questions

Explore conceptually related problems

Let two fair six-faced dice A and B be thrown simultaneously. If E_1 is the event that die A shows up four, E_2 is the event that die B shows up two and E_3 is the event that the sum of numbers on both dice is odd, then which of the following statements is NOT true ? (1) E_1 and E_2 are independent. (2) E_2 and E_3 are independent. (3) E_1 and E_3 are independent. (4) E_1 , E_2 and E_3 are independent.

6 balls marked as 1,2,3,4,5 and 6 are kept in a box. Two players A and B start to take out 1 ball at a time from the box one after another without replacing the ball till the game is over. The number marked on the ball is added each time to the previous sum to get the sum of numbers marked on the balls taken out. If this sum is even, then 1 point is given to the players. the first player to get 2 points is declared winner. at the start of the game, the sum is 0. if A starts to take out the ball, find the number of ways in which the game can be won.

Three players A, B and C alternatively throw a die in that order, the first player to throw a 6 being deemed the winner. A's die is fair whereas B and C throw dice with probabilities p_(1) and p_(2) respectively, of throwing a 6.

The mean of the numbers obtained on throwing a die having written ,1 on three faces , 2 on two faces and 5 on one face is ….

Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin three times and notes the number of heads. If she gets 1, 2, 3 or 4, she tosses a coin once and notes whether a head or tail is obtained. If she obtained exactly one head, what is the probability that she threw 1, 2, 3 or 4 with the die?

A coin is tossed. If it shows head, we draw a ball from a bag consisting of 3 blue and 4 white balls, if it shows tail we throw a die. Describe the sample space of this experiment.

A child has a die whose six faces show the letters as given below: The die is thrown once. What is the probability of getting ( 1 ) A ? ( 2 ) D ?

Suppose we throw a die once. (1) What is the probability of getting a number greater than 4? (in) What is the probability of getting a number less than or equal to 4?

A player throws a ball upwards with an initial speed of 29.4 ms^(-1) (a) What is the direction of acceleration during the upward motion of the ball ? (b) What are the velocity and acceleration of the ball at the highest point of its motion ? (c) Choose the x = 0 m and t=0 s to be the location and time of the ball at its highest point vertically downward direction to be the positive direction of x-axis and give the signs of position, velocity and acceleration of the ball during its upward and downward motion. (d) To what height does the ball rise and after how long does the ball return to the player's hands ? (Take g = 9.8 ms^(-2) and neglect air resistance).

KUMAR PRAKASHAN-PROBABILITY-Solutions of NCERT Exemplar Problems (Short Answer Type Questions)
  1. Prove that P(A cup B) = P(A cap B)+P(A cap barB)+P(barA cap B)

    Text Solution

    |

  2. If X is the number of tails in three tosses of a coin, determine the s...

    Text Solution

    |

  3. In a dice game, a player pays a stake of ₹ 1 for each throw of a die. ...

    Text Solution

    |

  4. Three dice are thrown at the sametime. Find the probability of getting...

    Text Solution

    |

  5. Suppose 10,000 tickets are sold in a lottery each for ₹ 1. First prize...

    Text Solution

    |

  6. A bag contains 4 white and 5 black balls. Another bag contains 9 white...

    Text Solution

    |

  7. Bag-I contains 3 black and 2 white balls, Bag-II contains 2 black and ...

    Text Solution

    |

  8. A box has 5 blue and 4 red balls. One ball is drawn at random and not ...

    Text Solution

    |

  9. Four cards are successively drawn without replacement from a deck of 5...

    Text Solution

    |

  10. If a die is thrown 5 times. Then find the probability that an odd numb...

    Text Solution

    |

  11. Ten coins are tossed. Then what is the probability of getting atleast ...

    Text Solution

    |

  12. The probability of a man hitting a target is 0.25. He shoots 7 times, ...

    Text Solution

    |

  13. A lot of 100 watches is known to have 10 defective watches. If 8 watch...

    Text Solution

    |

  14. Consider the probability distribution of a random variable X: Cal...

    Text Solution

    |

  15. The probability distribution of a random variable X is given below: ...

    Text Solution

    |

  16. For the following probability distribution determine standard deviatio...

    Text Solution

    |

  17. A biased die is such that P(4) = (1)/(10) and other scores being equal...

    Text Solution

    |

  18. A dice is thrown three times. Let X be 'the number of two seen'. Find ...

    Text Solution

    |

  19. Two biased dice are thrown together. For the first dice P(6) = (1)/(2)...

    Text Solution

    |

  20. Two probability distributions of the discrete random variables X and Y...

    Text Solution

    |