Important Questions of Probability Mathematics | Zigya

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 Multiple Choice QuestionsLong Answer Type

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551.

If events A and B are such that straight P left parenthesis straight A right parenthesis space equals space 1 half comma space straight P left parenthesis straight B right parenthesis equals 7 over 12 comma space straight P space left parenthesis not space straight A space or space not space straight B right parenthesis space equals space 1 fourth comma find whether

(i) A and B are mutually exclusive.          (ii) space space straight P space left parenthesis straight A intersection straight B right parenthesis space equals space straight P left parenthesis straight A right parenthesis space cross times space straight P left parenthesis straight B right parenthesis

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552.

A and B are two events of a mathematical experiment such that P(A) = 0.3,  P(B) = 0.6 and
straight P left parenthesis straight A intersection straight B right parenthesis space equals space straight P left parenthesis straight A right parenthesis cross times straight P left parenthesis straight B right parenthesis. Determine:

(a) straight P left parenthesis straight A intersection straight B right parenthesis                               (b) P (A and not B)                   (c) P (B and not A)
(d) P(neither A nor B)                 (e) P(A or B)

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 Multiple Choice QuestionsShort Answer Type

553.

A and B are two events of a random experiment such that:
(a) P(A) = 0.4, P(B) = 0.5, straight P left parenthesis straight A union straight B right parenthesis equals 0.6. Find <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>

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554.

A and B are two events of a random experiment such that:
 P(A) = 0.35, P(B) = 0.5, straight P left parenthesis straight A intersection straight B right parenthesis equals 0.25 Find straight P left parenthesis straight A union straight B right parenthesis.

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555.

A and B are two events of a random experiment such that:
<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> Find P(B).

93 Views

 Multiple Choice QuestionsLong Answer Type

556.

A and B are two mutually exclusive events such that events P(A) = 0.45, P(B) = 0.35. Find:
(a)          straight P left parenthesis top enclose straight A intersection straight B with bar on top right parenthesis             (b) space space space straight P left parenthesis straight A with bar on top intersection straight B right parenthesis                 (c) straight P left parenthesis straight A intersection straight B with bar on top right parenthesis

119 Views

557.

Two dice are rolled. Find the probability of getting:

(a) a total of 9 or a total of 11 
(b) a total of 8 or a doublet,
(c) an even number on the first die or a total of 7.

105 Views

 Multiple Choice QuestionsShort Answer Type

558. The probability that a boy goes to school on a bicycle is 0.35 and that he will go on a scooter is 0.14. What is the probability that he will go to school on a bicycle or a scooter ?
102 Views

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559. Two cards are drawn at random from a well shuffled pack of 52 cards. What is the probability that they will be of the same colour?
97 Views

560. One natural number is selected from the first 20 natural numbers. What is the probability that it is either a prime number or an odd number?
97 Views

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