Home
Class 12
MATHS
A die marked 1, 2, 3 in red and 4, 5, 6 ...

A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event, the number is even, and B be the event, the number is red. Are A and B independent?

Text Solution

AI Generated Solution

To determine if events A and B are independent, we will follow these steps: ### Step 1: Define the sample space The sample space \( S \) for a die marked with numbers 1 to 6 is: \[ S = \{ 1, 2, 3, 4, 5, 6 \} \] ### Step 2: Define the events A and B - Event A (the number is even): ...
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Section D|2 Videos

Similar Questions

Explore conceptually related problems

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?

Two dice are thrown together. Let A be the event getting 6 on the first die and B the event getting 2 on the second die. Are the events A and B independent?

A fair coin and an unbiased die are tossed. Let A be the event head appears on the coin and B be the event 3 on the die. Check whether A and B are independent events or not.

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

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?

Two dice are thrown . Event A is " the sum of the two dice is 7" and Event B is " at least one die is 6. " Are A and B inependent ?

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.

Three dice, red, blue and green in colour are rolled together. Let B be the event that sum of the numbers shown up is 7. Let A be the event that the red die shows 1. The conditional probability of the events A given B, P (A|B) is

A die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5. Then P""(AuuB) is (1) 3/5 (2) 0 (3) 1 (4) 2/5

XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. The x-coordinates of a point on t line joining the points Q(2,2,1)a...

    Text Solution

    |

  2. The random variable X can the values 0, 1, 2, 3, Give P(X = 0) = P(X =...

    Text Solution

    |

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

    Text Solution

    |

  4. Often it is taken that a truthful person commands, more respect in ...

    Text Solution

    |

  5. Two tailors, A and B, earn 300 and 400 per day respectively. A can st...

    Text Solution

    |

  6. Find : int (dx)/(5-8x-x^2)

    Text Solution

    |

  7. Discuss the commutativity and associativity of binary operation * d...

    Text Solution

    |

  8. If the sum of lengths of hypotenuse and a side of a right angled tri...

    Text Solution

    |

  9. Using integration, find the area of region bounded by the triangle who...

    Text Solution

    |

  10. If tan^-1 ((x-3)/(x-4))+tan^-1((x+3)/(x+4))=pi/4, find x

    Text Solution

    |

  11. If x^y+y^x=a^b , then find dy/dx.

    Text Solution

    |

  12. Evaluate : int0^pi(xtanx)/(secx+tanx)dx

    Text Solution

    |

  13. Solve the differential equation: (1+x^2) dy/dx + y = tan^-1 x

    Text Solution

    |

  14. Show that the points A, B, C with position vectors 2hati – hatj + hat...

    Text Solution

    |

  15. Evaluate int0^(2pi) sin^2x cos^4x dx

    Text Solution

    |

  16. Write the distance of a point P(a ,b ,c) from x-axis.

    Text Solution

    |

  17. Find the value of lambda , if four points with position vectors 3 hati...

    Text Solution

    |

  18. If A and B are square matrices of order 3 such that |A| = – 1, |B| = 3...

    Text Solution

    |

  19. There are 4 cards numbered 1,3,5 and 7, one number on one card. Two ca...

    Text Solution

    |

  20. Of all the students in a school, it is known that 30% have 100% attend...

    Text Solution

    |