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Math Olympiad > Learn Math Olympiad > If the word ASSASSINATION is put in a box and a word...
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If the word ASSASSINATION is put in a box and a word is drawn at random. What is the: 1) Probability of getting a letter A, 2) Probability of getting a letter S.

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Maths Tutor

1)3/13,2)4/13
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Tutor

First of all the question should read " a letter" is drawn rather than "a word" is drawn. Now probability of any event E is given by P(E) = n(E)/n(S). where n(E) represents the number of elements of even E and n(S) represents the number of elements in the sample space S. Thus, Answer to Question (1)...
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First of all the question should read " a letter" is drawn rather than "a word" is drawn. Now probability of any event E is given by P(E) = n(E)/n(S). where n(E) represents the number of elements of even E and n(S) represents the number of elements in the sample space S. Thus, Answer to Question (1) is 3/13 as n(S) = number of letters in ASSASSINATION= 13 and n(E) = number of A's in ASSASSINATION = 3. Similarly, answer to question (2) is 4/13 as n(S) =13 and n(E) = number of S's = 4. read less
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1) 3/13 AND 2) 4/13
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1). Total number of A's in the word are 3. Total letters in the word are 13. Therefore, P(A)= 3/13. 2). Total number of S's in the given word are 4. Therefore, P(S)= 4/13
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Math Magician

Total letters=13 Total A's=3 Total S's = 4 Probability for A =No. of A/ Total letters = 3/13 Probability for S= No. Of S/Total letters = 4/13
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Engineer, Mathamatician, Singer

First of all look at the word and find out howmany A and S we have in the word ASSASSINATION. We have 3 A and 4 S. Therefore 1) the probability of picking up A is 3/13 where 13 is the total number of letters in the word. 2) the probability of picking up S is 4/13.
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Tutor

Ans is 3/13.total no of A is 3 and total letter are there is 13 so according to rule probability to getting letter A is 3/13
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Maths Tutor

Probability of getting A is 3/13 and probability of getting s is 4/13
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Answer will be 3/13 and 4/13 As we have Total: 13 letters Out of which we have 3 'A' and 4 'B'.
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This word has 13 letters in which 6 distinct types are there. AAA, SSSS, II, NN, T, O. 1) A can be picked 3 times. Probability= 3/13 2) S can be picked 4 times. Probability=4/13
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