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Probability

Long Answer Type

481.

On her vacations, Veena visits four cities (A, B, C and D) in a random order. What is the probability that she visits:

(i) A before B? (ii) A before B and B before C?

(iii) A first and B last? (iv) A either first or second (v) A just before B?

265 Views

Short Answer Type

482.

In a relay race, there are five teams, A, B, C, D and E.

What is the porbability

(i) that A, B, C finish first, second and third respectively?

(ii) that A, B and C are first three to finish (in any order)?

281 Views

483. Letters of the word ‘SHARP’ are arranged. What is the probability that a randomly chosen word begins with A and ends with R?

100 Views

484. Letters of the word ‘DELAYS’ are arranged. Find the probability that D and S are at the end places of the new word.

114 Views

485. 5 girls are arranged in a row. Find the probability that the youngest and the eldest are always together.

Number of arrangements of 5 girls in a line $straight P presuperscript 5 subscript 5 space equals space 5 factorial space equals space 120$
$rightwards double arrow$ n(S) = 120
Event A: two of the girls are to be together.
$rightwards double arrow$ n = 5, r = 2
$rightwards double arrow$ n(A) = Number of arrangements when 2 of the girls are together.
$rightwards double arrow$ n(A) = r! (n - r + 1)! = 2! $cross times$ (5 - 2 + 1)! = $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

Hence, $straight P left parenthesis straight A right parenthesis equals fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 48 over 120 equals 2 over 5$