Home
Class 12
MATHS
There are four boxes A1, A2, A3 and A4. ...

There are four boxes `A_1, A_2, A_3` and `A_4`. Box `A_i` has i cards and on each card a number is printed, the numbers are from 1 to i. A box is selected randomly, the probability of selection of box `A_i` is `i/10` and 10 then a card is drawn. Let `E_1` represents the event that a card with number 'i' is drawn. `P(A_3"/"E_2)` is equal to:

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos
  • JEE MAIN 2024 ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|598 Videos

Similar Questions

Explore conceptually related problems

There are four boxes A_(1),A_(2),A_(3) and A_(4). Box A_(i) has i cards and on each card a number is printed,the numbers are from 1 to i. A box is selected randomly,the probability of selection of box A_(i) is (i)/(10) and then a card is drawn.Let E_(i) represents the event that a card with number i' is drawn.

There are four boxes B_(1), B_(2), B_(3) and B_(4) . Box B_(i) has i cards and on each card a number is printed, the numbers are from 1 to i . A box is selected randomly, the probability of selecting box B_(i) is (i)/(10) and then a card is drawn. Let E_(i) respresent the event that a card with number 'i' is drawn, Then : Q. P(B_(3)|E_(2)) is equal to :

There are four boxes B_(1), B_(2), B_(3) and B_(4) . Box B_(i) has i cards and on each card a number is printed, the numbers are from 1 to i . A box is selected randomly, the probability of selecting box B_(i) is (i)/(10) and then a card is drawn. Let E_(i) respresent the event that a card with number 'i' is drawn, Then : Q. P(E_(1)) is Equal to :

There are 10 cards numbered from 1 to 10 in a box. If a card is drawn randomly, then find the probability of getting an even numbered card.

A box contains 20 cards marked with the number 1 to 20 . One card is drawn from this box at random. What is the probability of the following events The number on the card is a prime number

Cards with numbers 2 to 101 are placed in a box. A card is selected at random. Find the probability that the card has : (i) an even number (ii) a square number

Cards with number 2 to 101 are placed in a box. A card is selected at random. Find the probability that the card has (i) an even number (ii) a square number

Card numbered as 1, 2, 3, .........., 15 are put in a box. One card is drawn at random. The probability of getting a multiple of 5 is

A box contains 20 cards marked with the number 1 to 20 . One card is drawn from this box at random. What is the probability of the following events The number on the card is a perfect square.

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024-Questions
  1. There are four boxes A1, A2, A3 and A4. Box Ai has i cards and on each...

    Text Solution

    |

  2. If f(x)={(-2,,,-2,le,x, <,0),(x-2,,,0,le,x, le,2):} and h(x) = f(|x|) ...

    Text Solution

    |

  3. Let ABC be a triangle. If P1, P2, P3, P4, P5 are five points on side A...

    Text Solution

    |

  4. Let y(x) be a curve given by differential equation (dy)/(dx) - y = 1 +...

    Text Solution

    |

  5. Let there are 3 bags A, B and C. Bag contain 5 black balls and 7 red b...

    Text Solution

    |

  6. The number of rational terms in the expansion of (2^(1/2) + 3^(1/3))^(...

    Text Solution

    |

  7. 2 and 6 are roots of the equation ax^2 + bx + 1 = 0 then the quaratic ...

    Text Solution

    |

  8. Let f(x)={(frac{1-cos2x}{x^2},x, <,0),(alpha,x,=,0),(beta (frac{sqrt(1...

    Text Solution

    |

  9. One point of intersection of curve y = 1 + 3x - 2x^2 and y = 1/x is (...

    Text Solution

    |

  10. If alpha and beta are sum and product of non zero solution of the equa...

    Text Solution

    |

  11. If domain of the function f(x) = sin^(-1) (frac{3x - 22}{2x - 19}) + l...

    Text Solution

    |

  12. The value of lim(xrarr 4) frac{(5 + x)^(1/3) - (1 + 2x)^(1/3)}{(5 + x)...

    Text Solution

    |

  13. If the function f(x) ={(1/|x|,|x|,ge,2),(zx^2+2b,|x|,<,2):} differenti...

    Text Solution

    |

  14. Let alpha, beta in R. If the mean and the variable of 6 observation, -...

    Text Solution

    |

  15. A square is inclined in the circle x^2 + y^2 - 10 x - 6y + 30 = 0 such...

    Text Solution

    |

  16. Let f(x) = x^5 + 2e^(x/4) AA x in R. Consider a function of (gof) (x) ...

    Text Solution

    |

  17. Let f(x) =frac{2x^2 - 3x + 9} {2x^2 +3x + 4}, x in R, if maximum and m...

    Text Solution

    |

  18. int0^(pi/4) frac{sin^2 x}{1 + sin x. cos x}, dx = 0

    Text Solution

    |

  19. 2, p, q are in G.P. (where p ne q) and in A.P., 2 is third term, p is ...

    Text Solution

    |