1). Three people are selected at random from four females and nine males. Find t

Question

1). Three people are selected at random from four females and nine males. Find the probability of the following. (See Example 4. Round your answers to three decimal places.)

(a) At least one is a male.


(b) At most two are male.

2).A tray of electronic components contains 22 components, 4 of which are defective. If 4 components are selected, what is the possibility of each of the following? (Round your answers to five decimal places.)

(a) that all 4 are defective


(b) that 3 are defective and 1 is good


(c) that exactly 2 are defective


(d) that none are defective

Explanation / Answer

1)
4 female and 9 males
a) at least one is a male
= 1 - all three are female
= 1- 4C3/13C3
= 1 - 4*3*2/(13*12*11)
= 0.98601398601

b)
at most two are male
= 1 - all three are male
= 1 - 9C3/13C3
= 1- (9*8*7/(13*12*11))
= 0.70629370629

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