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A,B,C are aiming to shoot a balloon. A w...

A,B,C are aiming to shoot a balloon. A will succeed 4 times out of 5 attempts. The change of B to shoot the balloon is 3 out of 4 and that of C is 2 out of 3. If three aim the balloon simultaneously, then find the probability that atleast two of them hit the balloon.

Text Solution

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The correct Answer is:
`(5)/(6)`
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A, B, C are aiming to shoot a baloon. A will succeed 4 times out of 5 attempts. The chance of B to shoot the baloon is 3 out of 4 and that of C is 2 out of 3. If the three aim the baloon simultaneously, then find the probability that atleast two of them hit the baloon.

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Knowledge Check

  • A,B,C are aiming to shoot a balloon. A will succeed 4 times out of 5 attempts . The chance of B to shoot the balloon is 3 out of 4 and that of C is 2 out of 3. If the three aim of balloon simultaneouly , then the probability that atleast two of them hit the balloon is

    A
    `8//9`
    B
    `1//16`
    C
    `5//6`
    D
    `1//9`

  • The probability that A can solve a problem is 2/3 and that B can solve it is 3/4.If both attempt the problem, what is the probability that the problem gets solved ?

    A
    `11//12`
    B
    `7//12`
    C
    `5//12`
    D
    `9//12`

  • Box A contains 2 black and 3 red balls , while box B contains 3 black and 4 red balls . Out of these two boxes one is selected at random and the probability of choosing bos A is double that of box B . If a red ball is drawn from the selected box , then the probability that it has come from box B, is

    A
    `(21)/(41)`
    B
    `(10)/(31)`
    C
    `(12)/(31)`
    D
    `(13)/(41)`

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