Question

A box contains 4 defective and 2 good parts.

Two parts are selected from the box (without replacement), and it
is recorded whether the

selected part is defective or good.

The probability that the first selected part is defective and the
second selected part is good is

__________

The probability that exactly one good part is selected is__________________

The probability that at least one defective part is selected is _____________________

Answer #1

Sol)

Given

A box contains 4 defective and 2 good parts

Total = 6 parts

Two are selected from the box

a)

Probability that first is defective and second is good

P ( first is defective ) = 4/6

As one is selected is defective in first order

P( second is good ) = 2/5

Total probability = 4C1/6C1 * 2C1/5C1

= 8/30

= 0.26666. = 0.27

b)

Probability that exactly on selected good part

P( one good is selected ) = 8/30 + 8/30

= 16/30

= 0.53333333 = 0.54

c)

Probability that atleast one defective part is selected

P( one is defective ) = (4C1 * 2C1 )/ 6C2

= 8 / 15

P( both are defective ) = 4C2 / 6C2

= 6/15

P(atleast one is defective ) = p( one ) + p( two )

= 8/15 + 6/15

= 14/15

= 0.9333333 = 0.94

A box contains 25 parts of which 3 are defective and 22
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P (both are defective) =
P ( exactly one is defective) =
P ( neither is defective) =

A lot of 101 semiconductor chips contains 25 that are
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(a)
Two are selected, one at a time and without replacement from
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(b)
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is not defective.

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b. What is the probability that the first two selected are
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(a) A box contains 4 marbles, 2 Red, 1 Green, 1
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to five decimal places (e.g. 98.76543).
Enter your answer in accordance to the item a) of the question
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Round your answers to four decimal places (e.g.
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b) Find the probability that both parts are not defective.
c) Find the probability that at least one part is defective.
Please show how you arrive at your answers.

3. A box contains eight defective and twelve good transistors.
If five transistors are drawn, with replacement, in succession,
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Pdf for formulas: http://docdro.id/HLm3Ta5

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(a)
Components are selected and tested one at a time, without
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