a box contains 100 bolt and 50 nuts if it is given that 50% bolts and 50% nuts are - Maths - Probability

Question

a box contains 100 bolt and 50 nuts if it is given that 50% bolts
and 50% nuts are rusted two objects are selected from the box at
random find the probability that both are bolts or bolts are
rusted??
pl explain step by step properly

Pooja Khanna · Accepted Answer

Dear Student,
Please follow the solution to the
above given query:
Number of bolts in the box = 100
Number of nuts in the box = 50
Number of bolts that are rusted = 50
Number of nuts that are rusted = 25
Total number of items in the box = 100 + 50 = 1500
Total number of rusted items = 50 + 25 = 75
Number of ways of drawing 2 items out of 150 = 150C2

Total number of elementary events = 150C2
Consider the following events :A
= 2 items drawn are rusted; B = 2 items drawn are bolts
Now, there are 75 rusted items out of which 2 can be drawn in 75C2 ways
So, P(A) = C275C2150=277511175
There are 100 bolts in the box, out of which 2 can be drawn in 100C2 ways
So, P(B) = 1002C2150=495011175
There are 50 bolts that are rusted, out of which 2 can be drawn in 50C2 ways
P(A∩B) = C250C2150=122511175
Required probability = P(A∪B) = P(A) + P(B) − P(A∩B) =
277511175+495011175-12251175=7725-122511175=650011175=260447answer
Hope this information will
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a box contains 100 bolt and 50 nuts. if it is given that 50% bolts and 50% nuts are rusted. two objects are selected from the box at random . find the probability that both are bolts or bolts are rusted?? pl explain step by step properly..

a box contains 100 bolt and 50 nuts. if it is given that 50% bolts and 50% nuts are rusted. two objects are selected from the box at random . find the probability that both are bolts or bolts are rusted??
pl explain step by step properly..