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A person who tosses an unbiased coin gai...

A person who tosses an unbiased coin gains two points for turning up a head and loses one point for a tail. If three coins are tossed and the total score X is observed, then the range of X is

A

{0, 3, 6}

B

{-3, 0, 3}

C

{-3, 0, 3, 6}

D

{-3, 3, 6}

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • An unbiased coin is tossed to get 2 points for turning up a head and one point for the tail . If three unbiased conis are tossed simultaneously , then the probability of getting a total of odd number of points is ,

    A
    `1/2`
    B
    `1/4`
    C
    `1/8`
    D
    `3/8`
  • An unbaiseed coin is tossed to get 2 points for tunring up a head and one point for the tail. If three unbaised coins are tossed simultaneously , then the probability of getting a total of odd number of points is

    A
    `1//2`
    B
    `1//4`
    C
    `1//8`
    D
    `3//8`
  • If 4 coins are tossed then the mean and variance of X where X is the number of head

    A
    2,4
    B
    2,1
    C
    1,2
    D
    1,1
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    There are three coins. One is a two headed coin (having head on both faces), another is a biased coin that comes up heads 75% of the time and third is an unbiased coin. One of the three coins is chosen at random and tossed, it shows heads, what is the probability that it was the two headed coin ?

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