Home
Class 12
MATHS
A fair coin is tossed three times. Consi...

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?

A

A and B are independent

B

A and B are not independent

C

A and C are independent

D

B and C are not independent

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - D Linked Comprehension Type Questions)|21 Videos
  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-E (assertion -reason type questions)|15 Videos
  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - B Objective Type Questions (One option is correct))|65 Videos
  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-D:(Assertion-Reason Type Questions)|12 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 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 i. A and B ii. B and C and iii. C and A

A coin is tossed three times. Consider the following events: A: No head appears B: Exactly one head appears C: At least two heads appear Which one of the following is correct?

A coin is tossed three xx.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&BB&C

A fair coin is tossed 6 times .The variance of number of heads is

A fair coin is tossed 9 times . Find the probability that it shows heads exactly 5 times .

A fair coin is tossed 8 times. Find the probability that : (1) it shows no head (2) it shows head at least once.

A fair coin is tossed 5 times . Find the probability that it shows exactly three times head.

A coin is tossed twice. If events A and B are defined as: A = head on first toss, B =head on second toss. Then the probability of A nn B =

If a fair coin is tossed 8 times , then the probability that it shows heads at least once is

If 1 coin is tossed three times, Indicate the probability of the following events second is not a head.

AAKASH INSTITUTE-PROBABILITY-ASSIGNMENT (SECTION - C Objective Type Questions (More than one options are correct))
  1. There are 7 seats in a row. Three persons take seats at random the pro...

    Text Solution

    |

  2. Box A has 3 white and 2 red balls, box B has 2 white and 4 red balls. ...

    Text Solution

    |

  3. If P(A) = 2/3, P(B) = 4/9 and P(AcapB)=cap, then P(A'capB') is greater...

    Text Solution

    |

  4. If A and B are two events such that P(AcupB)=3/4, P(AcapB)=1/4,P(barA)...

    Text Solution

    |

  5. Two dices are rolled and numbers r(1) and r(2) are chosen. Let 1+omega...

    Text Solution

    |

  6. Delegates of the five of the member countries of SAARC decide to hold ...

    Text Solution

    |

  7. If a Grand father along with his two grandsons and four grand daughter...

    Text Solution

    |

  8. A quadratic equation is chosen from the set of all the quadratic equat...

    Text Solution

    |

  9. A sample space consists of 3 sample points with associated probabiliti...

    Text Solution

    |

  10. If A and B are two independent events such that P(barA nn B)=2/15 and...

    Text Solution

    |

  11. For two events A and B, let P(A) = 3/5, P(B) = 2/3, then which of the ...

    Text Solution

    |

  12. An unbiased coin is tossed n times. Let X denote the number of times h...

    Text Solution

    |

  13. A fair coin is tossed 99 times. If X is the number of times in which h...

    Text Solution

    |

  14. Consider the following events for a family with children A = {Childr...

    Text Solution

    |

  15. From the set S = {0, 1, 2, …., 53}, three distinct numbers are chosen....

    Text Solution

    |

  16. A fair coin is tossed three times. Consider the events A = {First to...

    Text Solution

    |

  17. If A and B are two events such that P(A) = 1/2 and P(B) = 1/3 then whi...

    Text Solution

    |

  18. A, B, C in order roll a dice on the condition that one who gets a six,...

    Text Solution

    |

  19. There are 3 men, 2 women and 4 children. If 4 persons are selected the...

    Text Solution

    |

  20. If the letters of word ASSASSIN are written at random in a raw, then w...

    Text Solution

    |