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Q.

A box contains 300 bolts and 500 nuts. On checking the box, it was found that half of the bolts and half of the nuts are rusted. If one item is chosen at random, find the probability that it is rusted.

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a

0.6

b

0.3

c

0.5

d

0.4

answer is C.

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Detailed Solution

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Total number of bolts and nuts in the box = 300 + 500 = 800
Number of bolts and nuts rusted=12×300+12×500=400

P(a rusted nut or bolt) =400800=12=0.5

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