Home
Class 12
MATHS
A coin is tossed three times. Let the ev...

A coin is tossed three times. Let the events A B, and C be defined as follows; A= first toss is head, B= second toss is head, and C= exactly two heads are tossed in a row. Check the independence of i. A and B ii. B and C and iii. C and A

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. Let the events A ,B and C be defined as follows: A= first toss is head, B= second toss is head, and C= exactly two heads are tossed in a row. Check the independence of A&B B&C C&A

A fair coin is tossed three times. Consider the events A = {First toss is head} B = {Second toss is head} C = {Exactly two heads in a raw} Which of the following statements is true?

The probability of getting exactly two heads when tossing a coin three times is

A coin is tossed three times, if head occurs on first two tosses, find the probability of getting head on third toss.

A coin is tossed three times. The probability of getting head and tail alternately, is

A coin is tossed three times. Find P(A/B) in each of the following: A= Head on third toss, B= Head on first two tosses A= At least two head, B= At most two heads. A= At most two tails, B= At least one tail.

in is tossed three times. Let A = {three heads occur} and B = {at least one head occurs}. What is " p (A cup B)" ?

A coin is tossed three times. Given that at least one head appears, what is the probability that exactly two heads will appear?

A fair coin is tossed 10 times. The probability of getting as many heads in the first 5 tosses as in the last 5 tosses is

A coin is tossed two times. Find the probability of getting atmost one head.

RD SHARMA ENGLISH-PROBABILITY-All Questions
  1. Prove that in throwing a pair of dice, the occurrence of the number 4 ...

    Text Solution

    |

  2. One card is drawn at random from a well shuffled deck of 52 cards. I...

    Text Solution

    |

  3. A coin is tossed three times. Let the events A B, and C be defined as ...

    Text Solution

    |

  4. If A and B be two events such that P(A)=1//4, P(B)=1//3 and P(AuuB)...

    Text Solution

    |

  5. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  6. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  7. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  8. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  9. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  10. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  11. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  12. If P(not\ B)=0. 65 ,\ P(AuuB)=0. 85 , and A and B are independent even...

    Text Solution

    |

  13. If A and B are tow independent events such that P( A nnB)=2/(15)a n d...

    Text Solution

    |

  14. A and B are two independent events.The probability that both A and B o...

    Text Solution

    |

  15. If A and B are two independent events such that P(AuuB)=0. 60\ a n d\ ...

    Text Solution

    |

  16. A die is tossed twice. Find the probability of getting a number greate...

    Text Solution

    |

  17. Given the probability that A can solve a problem is 2/3 and the pro...

    Text Solution

    |

  18. An unbiased die is tossed twice. Find the probability of getting 4, 5,...

    Text Solution

    |

  19. A bag contains 3 red and 2 black balls. On ball is drawn from it at ...

    Text Solution

    |

  20. Three cards are drawn with replacement from a well shuffled pack of ...

    Text Solution

    |