Home
Class 12
MATHS
A coin is tossed thrice. Let the event E...

A coin is tossed thrice. Let the event E be the first throw results in a head and the event F be the last throw results in a tail. Find whether the events E and F are independent.

Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    RD SHARMA ENGLISH|Exercise All Questions|134 Videos
  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|197 Videos

Similar Questions

Explore conceptually related problems

A coin is tossed three times. Event A: two heads appear Event B: last should be head Then identify whether events A and B are independent or not.

An unbiased die thrown twice. Let the event A be 'even number on the first throw' and B the event 'even no. on the second throw'. Check the independence of the events A and B.

An unbiased die is thrown twice. Let the event A be "odd number on the first throw" and B the event "odd number on the second throw". Check the independence of the events A and B.

A coin is tossed three times in succession. If E is the event that there are at least two heads and F is the event in which first throw is a head, then find P(E//F)dot

A coin is tossed three times in succession. If E is the event that there are at least two heads and F is the event in which first throw is a head, then find P(E//F)dot

A coin is tossed thrice and all the eight outcomes are assumed equally likely. In which of the following cases are the following events A and B are independent? (a) A= the first thrown results in head, B= the last thrown results in tail (b) A= the number of heads is odd, B= the number of tails is odd (c) A= the number of heads is two, b= the last throw results in head

In the two dice experiment, if A is the event of getting the sum of the numbers on dice as 11 and B is the event of getting a number other that 5 on the first die, find P(A and B) Are A and B independent events? OR Two dice are tossed. Find whether the following two events A and B are independent: A={(x , y): x+y=11},B={(x , y): x!=5},w h e r e(x , y) denote a typical sample point.

A coin is tossed three times. Event A: two heads appear Event B: last should be head Then identify whether events Aa n dB are independent or dependent.

A coin is tossed three times. Event A: two heads appear Event B: last should be head Then identify whether events Aa n dB are independent or dependent.

A die is thrown once. F A is the event the number appearing is a multiple of 3 and B is the event the number appearing is even: Are the events A and B independent?

RD SHARMA ENGLISH-PROBABILITY-All Questions
  1. Ten cards numbered 1 through 10 are placed in a box, mixed up thoro...

    Text Solution

    |

  2. Assume that each child born is equally likely to be a boy or a girl. I...

    Text Solution

    |

  3. A coin is tossed thrice. Let the event E be the first throw results in...

    Text Solution

    |

  4. An unbiased die is thrown twice. Let the event A be "odd number on ...

    Text Solution

    |

  5. Three coins are tossed simultaneously. Consider the event E "three ...

    Text Solution

    |

  6. A fair coin and an unbiased die are tossed. Let A be the event head...

    Text Solution

    |

  7. A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be ...

    Text Solution

    |

  8. Events A and B are such that P(A)=1/2,\ P(b)=7/(12) and P( not A or no...

    Text Solution

    |

  9. A die is thrown once. F A is the event the number appearing is a mu...

    Text Solution

    |

  10. Refer to question 1 above. If the die were fair, determine whether or ...

    Text Solution

    |

  11. If A and B are two events such that P(A)=1/2, P(AuuB)=3/5 and P(B)=p, ...

    Text Solution

    |

  12. If A and B are two events such that P(A)=1/4, P(B)=1/2a n d\ P(AnnB)=1...

    Text Solution

    |

  13. If A and B are two independent events such that P( A uuB)=2//15 and P...

    Text Solution

    |

  14. A bag contains 3 red and 5 black balls and second bag contains 6 red a...

    Text Solution

    |

  15. A police man fires four bullets on a dacoit. The probability that the ...

    Text Solution

    |

  16. A problem in mathematics is given to 3 students whose chances of solvi...

    Text Solution

    |

  17. The odds against A solving the problem are 4 to 3 and the odds in favo...

    Text Solution

    |

  18. The probability that a teacher will give an unannounced test during an...

    Text Solution

    |

  19. What is the probability that series circuit with three switches S1,\...

    Text Solution

    |

  20. A coin is tossed and a die is thrown. Find the probability that the ...

    Text Solution

    |