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Determine P(E|F). A die thrown three tim...

Determine P(E|F). A die thrown three times, E: '4 appears on the third toss`.F:'6 and 5 appears respectively on the two tosses'.

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A coins is tossed three times,where E:head on third toss,F: heads on first two tosses find P(E/F)

A die is thrown three times. Events A and B are defined as below: A: 4 on the third throw B: 6 on the first and 5 on the second throw, Find the probability of A given that B has already occurred.

Knowledge Check

  • An unbiased coin is tossed 6 times. The probability that third head appears on the sixth trial is

    A
    `5//16`
    B
    `5//32`
    C
    `5//8`
    D
    `5//64`

  • Four die are thrown simultaneously. The probability that 4 and 3 appear on two of the die given that 5 and 6 have appeared on other two die is

    A
    `1//6`
    B
    `1//36`
    C
    `12//51`
    D
    None of these

  • Let S be the circle in the xy-plane defined by the equation x^(2)+y^(2)=4 . Let E_(1)E_(2) and F_(1) F_(2) be the chords of S passing through the point P_(0) (1, 1) and parallel to the x-axis and the y-axis, respectively. Let G_(1)G_(2) be the chord of S passing through P_(0) and having slope -1. Let the tangents to S at E_(1) and E_(2) meet at E_(3) , the tangents to S at F_(1) and F_(2) meet at F_(3) , and the tangents to S at G_(1) and G_(2) meet at G_(3) . Then, the points E_(3), F_(3), and G_(3) lie on the curve

    A
    `x+y=4`
    B
    `(x-4)^(2)+(y-4)^(2)=16`
    C
    `(x-4) (y-4)=4`
    D
    `xy=4`

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    A coins is tossed three times,where E:atmost two tails, F: atleast one tail. Find P(E/F) in each case above.

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