SOLUTION: A box contains 10 two-inch screws, of which 4 have a Phillips head and 6 have a regular head. Suppose that you select 3 screws randomly from the box. What is the probability that t

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Question 987072: A box contains 10 two-inch screws, of which 4 have a Phillips head and 6 have a regular head. Suppose that you select 3 screws randomly from the box. What is the probability that there will be more than one phillips head screw in a with replacement scenario?
Please help me out
Thanks

Answer by MathTherapy(10552) About Me  (Show Source):
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A box contains 10 two-inch screws, of which 4 have a Phillips head and 6 have a regular head. Suppose that you select 3 screws randomly from the box. What is the probability that there will be more than one phillips head screw in a with replacement scenario?
Please help me out
Total screws: 10
Total Philips screws: 4
Total regular screws: 6
P(1 Philips screw) = 4%2F10, or 2%2F5
With replacement,
P(2 Philips screws) = %282%2F5%29+%2A+%282%2F5%29, or %282%2F5%29%5E2, or 4%2F25
With replacement,
P(3 Philips screws) = %282%2F5%29+%2A+%282%2F5%29+%2A+%282%2F5%29, or %282%2F5%29%5E3, or 8%2F125
The probability that you will get MORE THAN 1 (meaning 2 or 3 Philips screws) = P(2P or 3P), or 4%2F25+%2B+8%2F125, or 20%2F125+%2B+8%2F125, or highlight_green%2828%2F125%29