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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Probability
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If on an average 2 ships in every 10, sinks. The probability that out of 5 ships expected to arrive, at least three will arrive safely is

 

$\begin {array} {1 1} (A)\;\large\frac{2944}{3125} & \quad (B)\;\large\frac{2946}{3125} \\ (C)\;\large\frac{2948}{3125} & \quad (D)\;None\: of \: these \end {array}$

 

Can you answer this question?
 
 

1 Answer

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Here $ n = 5$
P = probability of safe arrival of one ship
$ = \large\frac{4}{5}$
$ q = \large\frac{1}{5}$
$ P(3)+P(4)+P(5)=5C_3 (415)^3 \bigg( \large\frac{1}{5} \bigg)^2+5C_4 (415)^4 \bigg( \large\frac{1}{5} \bigg)+$
$5C_5 (415)^5 \bigg( \large\frac{1}{5} \bigg)^0$
$ = \large\frac{640+1280+1024}{55}$
$ = \large\frac{2944}{3125}$
Ans : (A)

 

answered Jan 3, 2014 by thanvigandhi_1
 

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