![\[\mathbf{1},\text{ }\mathbf{2},\text{ }\mathbf{3},\text{ }\mathbf{4},\text{ }\mathbf{5},\text{ }\mathbf{6},\text{ }\mathbf{7},\text{ }\mathbf{8},\text{ }\mathbf{9},\text{ }\mathbf{10},\text{ }\mathbf{11},\text{ }\mathbf{12};\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-67fdde3091439e8c286858207edb3f1b_l3.png "Rendered by QuickLaTeX.com")
![\[~~~\left( \mathbf{iii} \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-9007133defbf8cecaabe61627666571d_l3.png "Rendered by QuickLaTeX.com")
![\[\left( \mathbf{iv} \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-87dbc162d5b48495d80940f09e793b2f_l3.png "Rendered by QuickLaTeX.com")
![\[\mathbf{8}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-d72852d436631c1650d3154fd874ac4a_l3.png "Rendered by QuickLaTeX.com")
Solution:
![\[\left( iii \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-51bb833668e48c13fb2f3cac010c41f1_l3.png "Rendered by QuickLaTeX.com")
Favorable outcomes for a prime number are
![\[2,\text{ }3,\text{ }5,\text{ }7,\text{ }11\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-a73823eda243e6f99e5478f611e0c067_l3.png "Rendered by QuickLaTeX.com")
So, number of favorable outcomes
![\[~=\text{ }5\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-a2f2eb8ad1c29667750a2a37693625c0_l3.png "Rendered by QuickLaTeX.com")
Hence, P(the pointer will be at a prime number)
![\[=~5/12\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-07763a5fd13bfc106246c1188bdd0492_l3.png "Rendered by QuickLaTeX.com")
![\[\left( iv \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-e9c20fa3e5303a2b5743817069617d69_l3.png "Rendered by QuickLaTeX.com")
Favorable outcomes for a number greater than
![\[8\text{ }are\text{ }9,\text{ }10,\text{ }11,\text{ }12\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-2694cbf35786de54c96b45fee1356bae_l3.png "Rendered by QuickLaTeX.com")
So, number of favorable outcomes
![\[=\text{ }4\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-c3eb383e81fbe00df56991781bcd9be4_l3.png "Rendered by QuickLaTeX.com")
Hence,
![\[P\left( the\text{ }pointer\text{ }will\text{ }be\text{ }at\text{ }a\text{ }number\text{ }greater\text{ }than\text{ }8 \right)\text{ }=\text{ }4/12\text{ }=\text{ }1/3\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-f1294b2dc4481c9500399e0821feb269_l3.png "Rendered by QuickLaTeX.com")
