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The odds against a certain event are 5 t...

The odds against a certain event are 5 to 2, and the odds in favor of another event independent of the former are 6 to 5. Find the chance that one at least of the events will happen.

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Knowledge Check

  • The chance of an event happening is the square of the chance of a second event but the odds against the first are the cubes of the odds against the second. The chances of the events are

    A
    `(1)/(9), (1)/(3)`
    B
    `(1)/(10), (1)/(4)`
    C
    `(1)/(4), (1)/(2)`
    D
    `(1)/(6), (1)/(8)`

  • There are three events A, B and C of which one and only one can happpen. If the odds are 5 to 4 agains A and 2 to against B,then odds against C is:

    A
    `2:5`
    B
    `5:2`
    C
    `2:7`
    D
    `7:2`

  • There are three events A, B and C of which one and only one can happen. If the odds are 7 to 4 against A and 5 to 3 against B, then odds against C is

    A
    `23 : 65`
    B
    `65 : 23`
    C
    `23 : 88`
    D
    `88 : 23`

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