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The probability that a randomly chosen 2 × 2 matrix with all the entries from the set of first 10 primes, is singular, is equal to:

Option 1 -

1 3 3 1 0 4

Option 2 -

1 8 1 0 3

Option 3 -

1 9 1 0 3

Option 4 -

2 7 1 1 0 4

0 2 Views | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    2 months ago
    Correct Option - 3


    Detailed Solution:

    Set of first 10 prime numbers

    = {2,3,5,7,11,13,17,19,23,29,31}

    So sample space = 104.

    Favourable cases

    So required probability

    =10+4×10? C2104=10+4×10.92104=191000

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