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Describe the sample space for the indica...

Describe the sample space for the indicated experiments.
A box contins 1 red 3 identical white balls. Two balls re drawn in succession without replacement.

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Knowledge Check

  • A bag contains 3 black and 4 white balls. Two balls are drawn one by one at random without replacement. The probability that second drawn ball is white is

    A
    `4/49`
    B
    ` 1/7`
    C
    `4/7`
    D
    `12/49`
  • A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is

    A
    45/196
    B
    135/392
    C
    15/56
    D
    15/29
  • An urn contains nine balls of which three are red , four are blue and two are green . Three balls are drawn at random without replacement from the urn . The probability that the three balls have different colours is :

    A
    `1/3`
    B
    `2/7`
    C
    `1/21`
    D
    `2/23`
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    A box B_(1) contains 1 white ball, 3 red balls, and 2 black balls. An- other box B_(2) contains 2 white balls, 3 red balls and 4 black balls. A third box B_(3) contains 3 white balls, 4 red balls, and 5 black balls. If 2 balls are drawn (without replecement) from a randomly selected box and one of the balls is white and the other ball is red the probability that these 2 balls are drawn from box B_(2) is

    Four balls are to be drawn without replacement from a box containing 8 red and 4 white balls. If x denotes the number of red balls drawn. Find the probability distribution of x.

    Each of the n urns contains 4 white and 6 black balls. The (n+1) th urn contains 5 white and 5 black balls. One of the n+1 urns is chosen at random and two balls are drawn from it without replacement. Both the balls turn out to be black. If the probability that the (n+1) th urn was chosen to draw the balls is 1/16, then find the value of n .

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    A coin is tossed. If it shows tail, we draw a ball from a box contains of 2 red and 3 black balls. If it shows heads, we throw a die. Find the sample space of this experiment.