SOLUTION: 1. A box contains 74 brass washers, 86 steel washers and 40 aluminum washers, Three washers are drawn at random from the box without replacement. Determine the probability that all
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-> SOLUTION: 1. A box contains 74 brass washers, 86 steel washers and 40 aluminum washers, Three washers are drawn at random from the box without replacement. Determine the probability that all
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Question 451992: 1. A box contains 74 brass washers, 86 steel washers and 40 aluminum washers, Three washers are drawn at random from the box without replacement. Determine the probability that all three are steel washers. Answer by htmentor(1343) (Show Source):
You can put this solution on YOUR website! The total number of washers = 74+86+40 = 200
The probability that the 1st washer is steel is 86/200
Since the 1st washer is not replaced, there are 85 steel washers remaining.
So the probability that the 2nd washer is steel is 85/199
And for the 3rd, the probability is 84/198
So the total probability is:
86/200*85/199*84/198 = 0.0779
