A drawer contains 50 bolts & 150 nuts ,half of the bolts are rusted,if one item is choosen at random .what is the probability that it is rusted or a bolt?
Total bolts = 50
Total nuts = 150
Total number of items in the bag = 50 + 150 = 200
Total number of rusted bolts = 50 / 2 = 25
If one item is chosen at random then the probability that it is bolt will be:
"P_1=\\frac{50}{200}=\\frac{1}{4}"
If one item is chosen at random then the probability that it is rusted will be:
"P_2=\\frac{25}{200}=\\frac{1}{8}"
The probability that randomly selected item is rusted or a bolt:
"P=P_1+P_2"
"P=\\frac{1}{4}+\\frac{1}{8}"
"P=\\frac{3}{8}\\approx0.375"
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