What is the value of x?
1 answer:
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The answer is A. 8/243
There are in total 18 objects:
6 nuts + 8 bolts + 4 screws = 18 objects
The probability of choosing a nut is: 6/18 (since there are 6 nuts of total 18 objects).
The probability of choosing a bolt is: 8/18 (since there are 6 bolts of total 18 objects).
The probability of choosing a screw is: 4/18 (since there are 4 screws of total 18 objects).
Because replacement occurs each time, there are always 18 objects. Also, since selecting a nut, a bolt, and a screw occurs together, we will use the multiplication rule and multiply the probabilities of events occurring together:
There are in total 18 objects:
6 nuts + 8 bolts + 4 screws = 18 objects
The probability of choosing a nut is: 6/18 (since there are 6 nuts of total 18 objects).
The probability of choosing a bolt is: 8/18 (since there are 6 bolts of total 18 objects).
The probability of choosing a screw is: 4/18 (since there are 4 screws of total 18 objects).
Because replacement occurs each time, there are always 18 objects. Also, since selecting a nut, a bolt, and a screw occurs together, we will use the multiplication rule and multiply the probabilities of events occurring together: