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For each of the following experiments, w...

For each of the following experiments, write the sample space S and the number of sample points n(S) :
(1) One coin and one die are thrown simultaneously.
(2) Two-digit numbers are formed using digits 2,3 and 5 without repeating the digits.

Text Solution

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The correct Answer is:
(i) 12, (ii) 6
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For each of the following experiments write sample space 'S' and number of sample points n(S) One coin and one die are throw simultaneously .

In each of the following experimets, write the sample space (S), the number of sample point [n(S)], events E_(1) and E_(2) using set form, n(E_(1))and n(E_(2)): Two-digit numbers, using the digits 5,6,7, are formed without repeating the digits. (i) E_(1) is the event that the number is divisible by 3. (ii) E_(2) is the event that the number is a prime number.

Knowledge Check

  • Two-digit number are formed using the digits 0,1,2,3,4 without repeacting the digits. What is n(S) ?

    A
    14
    B
    16
    C
    18
    D
    20
  • How many 4-digit even numbers can be formed using the digits 5, 6, 7 and 8 without repeating any digit?

    A
    12
    B
    10
    C
    11
    D
    8
  • How many 3-digit numbers can be formed by using digit 1,2,3,4,5 without repetition of digits ?

    A
    12
    B
    22
    C
    50
    D
    60
  • Similar Questions

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    Two coins are tossed simultaneously. Write the sample space S and the number of sample points n(S).

    Write the sample space S and the number of sample points n(S): (i) Three coins are tossed simultaneously (ii) A coin is tossed and a die is rolled simultaneously.

    For each of the following experiments write sample space 'S' and number of sample points n(S) Two digit numbers are formed using digits 2,3 and 5 without repacting a digits ?

    Write all the possible 2-digt numbers using the digits 3, 4 and 5 without repeating any digit.

    If two digit number are formed using the digits 0, 1, 2, 3, 4, 5 with repeating them, then n(S) =