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A coin is tossed 4 times. Find the probability of getting at most 3 heads.


Solution not provided.
Ans. 15 over 16

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A die is rolled thrice. What the probability of:

(a) not getting a six each time?

(b) getting the same number each time?


Solution not provided.
Ans. (a) 215 over 216       (b) 1 over 36

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Fill in the blanks in the following table:
                             P(A)                   P(B)            straight P left parenthesis straight A intersection straight B right parenthesis              straight P left parenthesis straight A union straight B right parenthesis
(i)                           1 third                     <pre>uncaught exception: <b>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</b><br /><br />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<br />#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>               1 over 15                   ..........
(ii)                           0.35                .........               0.25                    0.6
(iii)                         0.5                     0.35              .........                   0.7

Solution not provided.
Ans. (i) 7 over 15                         (ii) 0.50                 (iii) 0.15

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Arin has to visit at random three of his friends A, B and C over a week-end. What is the probability that he visits:

(a) B before C                (b) B before C and C before A

(c) C first                       (d) A just before B

(e) A either first or last?


Solution not provided.
Ans. (a) 1 half                 (b) 1 over 6

(c) 1 third                         (d) 1 third              (e) 2 over 3

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Check whether the following probabilities are correctly defined:

(i) P (A) = 0.45,           P(B) = 0.65,       P (A ∩ B) = 0.55

(ii) P (A) = 0.6,            P (B) = 0.7,        P (A ∪ B) = 0.8


Solution not provided.
Ans. (i) No                 (ii) Yes

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