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Engineering Mathematics Miscellaneous

Engineering Mathematics

  1. A box contains 2 washers, 3 nuts and 4 bolts. Items are drawn from the box at random one at a time without replacement. The probability of drawing 2 washers first followed by 3 nuts and subsequently the 4 bolts is
    1. 2
      315
    2. 1
      630
    3. 1
      1260
    4. 1
      2520
Correct Option: C

Given: Washers – 2, Nuts – 3, Bolts – 4,
Total– 9 objects
Hence probability of drawing two washers from 9 objects

=
2C2
=
1
9C236

Probability of drawing, 3 nuts out of remaining 7 objects is
=
4C4
= 1
4C4

Probability of drawing 4 bolts out of remaining 4 bolts
∴ Required Probability =
1
×
1
× 1 =
1

36351260



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