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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
exactly one of them earns 10 points.

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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`

  • If the point (1,0),(0,1) and (x,8) are collinear, then the value of x is equal to

    A
    5
    B
    `-6`
    C
    6
    D
    `-7`