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1 A drawer contains 50 bolts and 150 nuts Half of the bolts and half of the nuts are rusted If one item is chosen at random what is the probability that it is rusted or a bolt?
The best way to think about this question might be to think about a slightly different one: what is the probability that a randomly-chosen item is neither rusted nor a bolt? Well in this case it would have to be an un-rusted nut, and there are (1/2)*150=75 of these. So the probability of choosing an un-rusted nut is equal to the number of un-rusted nuts over the total number of items in the drawer, or 75/200=3/8=0.375. Now, everything in the drawer is either an un-rusted nut or it isn't, so the probability that the item we choose belongs to one or the other of those sets is 1 (it happens with certainty). Thus the probability that we choose something other than an un-rusted nut (something that is rusted or a bolt) is the difference in the two probabilities, or 1-3/8=5/8=0.625.To get the same answer directly, you'd have to notice that there 25 rusty bolts and 75 rusty nuts, plus 25 bolts that aren't rusty, and so you're interested in the probability of choosing one of these 125 items out of the full drawer of 200 items. This is 125/200=5/8=0.625 as before. You can't just add the number of rusty items (100) to the number of bolts (50) and divide this by 200, because you then double-count the rusty bolts (each one belongs to the rusty group and to the bolt group). A backwards way of answering the question would be to add the number of rusty items to the number of bolts, and then subtract the number of rusty bolts, and finally divide by 200. Subtracting out the number of rusty bolts makes sure that these aren't double counted, and so the answer is again 125/200=5/8=0.625. This last approach is related to a more general idea called the Inclusion-Exclusion Principle.
Is 150 milligrams bigger than 150 grams?
no 150 milligrams = 0.150 grams
What is the percentage of 150 to 550?
150 is 27.27% of 550. Going from 150 to 550 is a 266.667% increase.
What is 93 out of 150 as a percentage?
93/150 = 0.62 = 62%
How many mg in 150 grain?
150 grains equates to about 9719.84mg
Is 4 a divisor of 150 explain?
No. The remainder, when 150 is divided by 4 is not 0. Therefore, 4 is not a divisor of 150.
What is the greatest common divisor of 150 and 480?
The Greatest Common Divisor of 150, 480 is 30.
What is the greatest common divisor of 150?
This question makes no sense ! The word 'common' implies you're comparing two or more numbers !
Is 3 divisor of 150?
Yes, it is.
What number goes into 5 and 150?
5 is a divisor of 5 and 150.
What is the least common divisor of 180 and 150?
The least common divisor of any set of integers is 1.
Is 4 a divisor of 150?
No it is not, because it doesn't divide evenly into 150.
Find the quiotent when the divisor is 25 and the dividend is 150?
0.1667
What us the gcd of 150 and 260?
The Greatest Common Divisor (GCD) for 150 260 is 10
What is the greatest common divisor for 100 and 150?
The GCF is 50.
What is the estimated probability of 55 out of 150?
It is 55/150 = 11/30
Is for 4 a divisor of 150?
No. These are 150's divisors: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150.
