SOLUTION: In a box of 23 parts, 7 are defective. Two parts are selected at random without replacement. What is the probability that at least one part is defective?

Question 694611: In a box of 23 parts, 7 are defective. Two parts are selected at random without replacement. What is the probability that at least one part is defective?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a box of 23 parts, 7 are defective. Two parts are selected at random without replacement. What is the probability that at least one part is defective?
------
P(at least one defective) = 1 - P(none defective)
----
To find P(none defective):
# of ways to succeed: 16C2
# of possible pairs:: 23C2
-----
Ans: 1 - [16C2/23C2] = 1 - 0.4743 = 0.5257
===============================================
Cheers,
Stan H.
==================
RELATED QUESTIONS
A shipment of 50 parts contains 11 defective parts. Suppose 3 parts are selected at... (answered by Boreal)

in a box of 10 electrical parts , 2 are defective. (a) if you choose one part at random (answered by Tatiana_Stebko)

a box of parts contains 8 good items and 4 defective items. if 2 are selected at random... (answered by ewatrrr)

I was just wondering if someone could double check my work on this problem: A box... (answered by Fombitz)

Two percent of the parts produced by a machine are defective. Twenty parts are selected... (answered by stanbon)

A box contains 20 DVDs, 4 of which are defective If two DVDs are selected at... (answered by jim_thompson5910)

A batch of 50 parts contains six defects. If two parts are drawn randomly one at a time... (answered by Theo)

In a box of 14 clocks, it is known that three clocks are defective. Two clocks are... (answered by nerdybill)

Three bolts and three nuts are put in a box. If two parts are chosen at random without... (answered by math_helper)