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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Probability
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An unbiased die is rolled four times. Out of four face values obtained, the probability that the minimum face is not less than 2 and the maximum face is not greater than 5 is

$\begin {array} {1 1} (1)\;\large\frac{16}{81} & \quad (2)\;\large\frac{8}{81} \\ (3)\;\large\frac{31}{81} & \quad (4)\;none\: of \: these \end {array}$

 

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Probability of getting a number from 2 to 5 in a single throw is = $ \large\frac{2}{3}$
Probability of the required event = $ \bigg( \large\frac{2}{3} \bigg)^4$
$ = \large\frac{16}{81}$
Ans : (1)
answered Jan 2, 2014 by thanvigandhi_1
 

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