Letters of the word ‘EDUCATION’ are re-arranged. Find the pr
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    Probability

    Multiple Choice QuestionsLong 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? 

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    Multiple Choice QuestionsShort 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)?

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    Answer
    483. Letters of the word ‘SHARP’ are arranged. What is the probability that a randomly chosen word begins with A and ends with R?
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    Answer
    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
    Answer
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    485. 5 girls are arranged in a row. Find the probability that the youngest and the eldest are always together.
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    486.

    Letters of the word ‘EDUCATION’ are re-arranged. Find the probability that the vowels are always together.

    Also, find the probability that the vowels are not all together.

    Number of letters in the word ' EDUCATION' = 9
      Number of vowels = 5
    Number of consonants = 4
    Number of arrangements for 9 letters = 9!
    rightwards double arrow                     n(S) = 9!
    Event A: The vowels are always together
    rightwards double arrow                       n(A) = r! (n - r + 1)!
    where r = 5, n - r + 1 = 9 - 5 + 1 = 5
    rightwards double arrow                        n(A) = space 5 factorial space cross times space 5 factorial

    Hence,        straight P left parenthesis straight A right parenthesis space equals space fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction space equals space fraction numerator 5 factorial cross times 5 factorial over denominator 9 factorial end fraction equals fraction numerator 5 cross times 4 cross times 3 cross times 2 cross times 1 over denominator 9 cross times 8 cross times 7 cross times 6 end fraction equals 5 over 126

    Also, the probability that not all the vowels are together
                    straight P left parenthesis straight A with bar on top right parenthesis space equals space 1 minus straight P left parenthesis straight A right parenthesis space equals space 1 minus 5 over 126 equals 121 over 126

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    Multiple Choice QuestionsLong Answer Type

    487. Which of the follwing ‘are’ and ‘are not’ probabilities of occurrence of an event A?
    (i) straight P left parenthesis straight A right parenthesis equals 7 over 6                        (ii)  P(A) = 1                       (iii) P(A) = 0
    (iv) straight P left parenthesis straight A right parenthesis equals fraction numerator negative 3 over denominator 2 end fraction                   (v) P(A) = space 2 over 5                     (vi) <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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    Multiple Choice QuestionsShort Answer Type

    488. The probability that Mrs Shah will get a job in the bank is 3/7. What is the probability that she will not get the job?
    96 Views
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    489. The probability that the hunter will miss the target is 2/3 . What is the probability that he will hit the target?
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    490. One coin is tossed, find the probability of getting (i) a tail (ii) no tail.
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    Answer
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