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Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of any game

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Knowledge Check

  • Materials expansion character depends on their being isotropic or anisotropic The superficial and cubical expansion coefficients can be arrived at by the addition of linear coefficient in the three dimensions. While studying the expansion of a solid or a liquid one should consider the expansion of the container also. Any hole in a conductor will become larger on getting heated up as one comments ''expansion is a photographic enalargement". Each liquid has its own characteristics behaviour to change of temperature. Answer the following questions based on above passage: Two sphere of radii is the ratio 1 : 2 of same material, but the first being solid and the second hollow are heated On heating to the same temperature the ratio of the change in their volume will be

    A
    `1:1`
    B
    `1:8`
    C
    `8:3`
    D
    `4:1`

  • A fair coin is tossed 10 times. The probability of getting exactly 6 heads is -

    A
    `(15)/(64)`
    B
    `(105)/(512)`
    C
    `(105)/(1024)`
    D
    `(21)/(256)`

  • A fair coin is tossed n times. The probability of getting head at least once is greater than 0.8. Then the least value of n is -

    A
    5
    B
    4
    C
    3
    D
    6

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    A box contains N coins, m of wiich are fair and the rest are biased. The probability of getting a head when a fair coin is tossed is 1/2, while it is 2/3 when a biased coin is tossed. A coin is drawn from the box at random and is tossed twice. The first time it shows head and the second time it shows tail. What is the probability that the coin drawn is fair ?

    In a game called odd man out m(m >2) persons toss a coin to determine who will buy refreshments for the entire group. A person who gets an outcome different from that of the rest of the members of the group is called the odd man out. The probability that there is a loser in any game is (A) 1/(2m) (B) m/2^(m-1) (C) 2/m (D) none of these

    A and B toss a coin alternately untill one of them gets a head for the first time and wins the toss. If A begin, find the respective probability ties for A and B to win the toss.

    A fair coin is tossed a fixed number of times. If the probability of getting exactly 3 heads equals the probablity of getting exactly 5 heads, then the probability of getting exactly one head is-

    Materials expansion character depends on their being isotropic or anisotropic The superficial and cubical expansion coefficients can be arrived at by the addition of linear coefficient in the three dimensions. While studying the expansion of a solid or a liquid one should consider the expansion of the container also. Any hole in a conductor will become larger on getting heated up as one comments ''expansion is a photographic enalargement". Each liquid has its own characteristics behaviour to change of temperature. Answer the following questions based on above passage: Two similar containers A and B are filled with alcohol and water at 4^@C respectively On cooling

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