Home
Class 12
MATHS
In a game of Archery, each ring of the A...

In a game of Archery, each ring of the Archery target is valued. The centremost ring is worth 10 points and rest of the rings are allotted points 9 to 1 in sequential order moving outwards. Archer A is likely to earn 10 points with a probability of 0.8 and Archer B is likely the earn 10 points with a probability of 0.9.

Based on the above information, answer the following questions : If both of them hit the Archery target, then find the probability that:
(a) exactly one of them earns 10 points.
(b) both of them earn 10 points.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2022 TERM 2 SET 3

    XII BOARDS PREVIOUS YEAR|Exercise SECTION C|4 Videos

  • QUESTION PAPER 2022 TERM 2 SET 2

    XII BOARDS PREVIOUS YEAR|Exercise Section - C (Case- Study Based Questions)|2 Videos

  • QUESTION PAPER 2022 TERM 2 SET 4

    XII BOARDS PREVIOUS YEAR|Exercise Section -C (Case Study Problem)|2 Videos

Similar Questions

Explore conceptually related problems

A and B stand in a ring with 10 other persons. If the arrangement of the persons is at random,then the probability that there are exactly 3 persons between A and B is

The probability that a bomb will hit a target is 0.8 Find the probability that out of 10 bombs dropped.exactly 4 will hit the target .

An artillery target may be either at point I with probability 8/9 or at point II with probability 1/9 we have 55 shells, each of which can be fired either rat point I or II. Each shell may hit the target, independent of the other shells, with probability 1/2. Maximum number of shells must be fired a point I to have maximum probability is 20 b. 25 c. 29 d. 35

An artillery target may be either at point A with probability (8)/(9) or at point B with probability (1)/(9) , we have 21 shells, each of which can be fired either at point A or at point B. Each shell may hit the target independently of the other shells, with probability (1)/(2) How may shells must be fired at point A to hit the target with maximum probability ?

The probability of hitting a target in any shot is 0.2 If 10 shorts are fired , find the probability that the target will be hit at least twice. [ Given: (0.8)^9= 0. 1342]

The probability that a bomb will hit a target is 0.8. The probability that out of 10 bombs dropped, exactly 2 will miss the target is

Knowledge Check

  • A and B stand in a ring along with 10 other persons. If the arrangement is at random, then the probability that there are exactly 3 persons between A and B, is

    A
    `(1)/(11)`
    B
    `(7)/(324)`
    C
    `(5)/(162)`
    D
    `(5)/(81)`

  • If P is the point (1,0) and Q is the point on y^(2)=8x then the locus of mid point of PQ is equal to

    A
    `x^(2)-2xy-8=0`
    B
    `x^(2)+4y+2=0`
    C
    `y^(2)+4x+2=0`
    D
    `y^(2)-4x+2=0`

  • The probability that a bomb will hit a target is 0.8. The probability that out of 10 bombs dropped, exactly 2 will miss the target is

    A
    `(0.9)(0.8)^10`
    B
    `(0.9)(0.8)^8`
    C
    `(1.8)(0.8)^10`
    D
    `(1.8)(0.8)^8`
    • XII BOARDS PREVIOUS YEAR-QUESTION PAPER 2022 TERM 2 SET 3-SECTION C (CASE-STUDY BASED QUESTION)
    1. In a game of Archery, each ring of the Archery target is valued. The c...

      Text Solution

      |