Home
Class 12
MATHS
Let two fari six-faced dice A and B be t...

Let two fari six-faced dice A and B be thrown simltaneously. 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 isodd, then which of the following statement is NOT True ?

A

`E_(1) and E_(2)` are independent

B

`E_(2) and E_(3)` are independent

C

`E_(2) and E_(3)` are independent

D

`E_(1), E_(2) and E_(3)` are independent

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 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.

If A and B are two events, then which one of the following is/are always true?

Two dice are thrown and it is known that the first die shows a 6. Find the probability that the sum of the numbers showing on two dice is 7.

Two fair dice are rolled. Let P(A_(i))gt0 donete the event that the sum of the faces of the dice is divisible by i. Which one of the following events is most probable?

Two dice are thrown simultaneously and three events A, B and C are defined as A : The sum of the numbers is 10 B : The sum of the numbers is 9 C : The sum of the numbers is 8 If P(E) is the probability of event E, then which of the followings is true ?

A die is thrown. If E is the event the number appearing is a multiple of 3' and F be the event the number appearing is even then

Find the probability that the sum of the numbers showing on two dice is 8, given that at least one die does not show five.

Find the probability that the sum of the numbers showing on two dice is 8, given that at least one die does not show five.

For two events A and B, let P(A) = 3/5 , P(B) = 2/3 , then which of the following is correct?

A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E and F mutually exclusive?

VMC MODULES ENGLISH-PROBABILITY-JEE MAIN (ARCHIVE)
  1. An unbiased coin is tossed eight times. The probability of obtaining a...

    Text Solution

    |

  2. Ea n dF are two independent events. The probability that both Ea n dF ...

    Text Solution

    |

  3. Let two fari six-faced dice A and B be thrown simltaneously. If E(1) i...

    Text Solution

    |

  4. If A and B are any two events such that P(A)=2/5 and P(AnnB)=3/20 then...

    Text Solution

    |

  5. An experiment succeeds twice as often as it fails. Find the probabi...

    Text Solution

    |

  6. If 12 indentical balls are to placed in 3 indntical boxes, then the pr...

    Text Solution

    |

  7. The mwan and variance of a binomial variable X are and 1, respectivil...

    Text Solution

    |

  8. Let X be a set containing n elements. Two subsets A and B of X are cho...

    Text Solution

    |

  9. If the sides of a triangle are decided by the throw of a single dice t...

    Text Solution

    |

  10. Let A and B be two events such that p( bar (AuuB))=1/6, p(AnnB)=1/4 a...

    Text Solution

    |

  11. A multiple choice examination has 5 questions. Each question has three...

    Text Solution

    |

  12. A person throws two fair dice. He wins Rs.15 for throwing a doublet (s...

    Text Solution

    |

  13. In a random experiment, a fair die is rolled until two fours are obtai...

    Text Solution

    |

  14. Three of the six vertices of a regular hexagon are chosen the rando...

    Text Solution

    |

  15. Let S = (1, 2, …, 20}. A subset B of S is said to be ''nice'', if the ...

    Text Solution

    |

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

    Text Solution

    |

  17. Four persons can hit a target correctly with probabilities (1)/(2),(1)...

    Text Solution

    |

  18. Let A and B be two non-null events such that AsubeB. Then, which of th...

    Text Solution

    |

  19. Two integers are selected at random from the set {1, 2, …, 11}. Given ...

    Text Solution

    |

  20. A unbiased coin is tossed. If the result is a head a pair of unbiased ...

    Text Solution

    |