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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
  • a)
    2/315  
  • b)
    1/630  
  • c)
    1/1260  
  • d)
    1/2520 
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A box contains 2 washers, 3 nuts and 4 bolts. Items are drawn from the...
Here sample space =  9 
The required probability of drawing 2 washers, 3 nuts and 4 bolts respectively  without replac ement
 
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Most Upvoted Answer
A box contains 2 washers, 3 nuts and 4 bolts. Items are drawn from the...
Solution:

Given, the box contains 2 washers, 3 nuts, and 4 bolts.

Let us find the probability of drawing 2 washers first, then 3 nuts, and subsequently the 4 bolts.

Probability of drawing the first washer = 2/9
Probability of drawing the second washer (without replacement) = 1/8
Probability of drawing the first nut (without replacement) = 3/7
Probability of drawing the second nut (without replacement) = 2/6
Probability of drawing the third nut (without replacement) = 1/5
Probability of drawing the first bolt (without replacement) = 4/4
Probability of drawing the second bolt (without replacement) = 3/3
Probability of drawing the third bolt (without replacement) = 2/2
Probability of drawing the fourth bolt (without replacement) = 1/1

Therefore, the total probability of drawing 2 washers first, then 3 nuts, and subsequently the 4 bolts is:

(2/9) * (1/8) * (3/7) * (2/6) * (1/5) * (4/4) * (3/3) * (2/2) * (1/1)
= 1/1260

Hence, the correct answer is option C) 1/1260.
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Community Answer
A box contains 2 washers, 3 nuts and 4 bolts. Items are drawn from the...
C
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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 isa)2/315 b)1/630 c)1/1260 d)1/2520Correct answer is option 'C'. Can you explain this answer?
Question Description
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