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CBSE Class 11-science Answered

8 persons stand in a line at random. What is the probability that two persons X and Y don't stand together?
Asked by suryansudash5 | 29 Dec, 2015, 11:32: AM
answered-by-expert Expert Answer
8 space p e r s o n s space s tan d space i n space a space l i n e space a t space r a n d o m. T h u s space t h e y space c a n space space b e space a r r a n g e d space t h e m s e l v e s space i n space 8 factorial space w a y s. T h e r e f o r e space t h e space t o t a l space n u m b e r space o f space w a y s equals 8 factorial equals 40320 C o n s i d e r space X space a n d space Y space s tan d space t o g e t h e r. T h e n space t h e y space c a n space b e space c o n s i d e r e d space a s space o n e space u n i t. H e n c e space t h e y space f o r m space a space g r o u p space o f space 7 S o space 7 space p e o p l e space c a n space b e space a r r a n g e d space i n space 7 factorial space w a y s A l s o space X space a n d space Y space t h e m s e l v e s space c a n space b e space a r r a n g e d space i n space 2 factorial space w a y s. T h u s space t h e space n u m b e r space o f space w a y s space s u c h space t h a t space X space a n d space Y space d o n t space s tan d space t o g e t h e r equals 8 factorial minus 7 factorial cross times 2 factorial equals 30240 T h u s space t h e space p r o b a b i l i t y space t h a t space t w o space p e r s o n s space X space a n d space Y space d o n t space s t a n d space t o g e t h e r space equals 30240 over 40320 equals 0.75
Answered by Vimala Ramamurthy | 30 Dec, 2015, 11:14: AM

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CBSE 11-science - Maths
8 person stand in line at random.what is the probability the two persons X and Y donot stand together
Asked by c65118124 | 17 Jan, 2024, 03:18: PM
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CBSE 11-science - Maths
an urn contains 6 red and 5 blue balls.three balls are drawn at random. the probability that balls of both colours are drawn??
Asked by gdeadshot85 | 23 Feb, 2023, 11:35: AM
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CBSE 11-science - Maths
there are 3 clubs A,B,C in atown with 40,50 and 60 members respectively .10 people are members of all three clubs 70are the members only in one club ,then find the number of members who have membership of exactly two clubs
Asked by ibcmw4 | 16 Jul, 2022, 08:14: PM
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CBSE 11-science - Maths
Two cards are drawn at random from a pack of 52 cards one-by-one without replacement. What is the probability of getting first card red and second card Jack?
Asked by vermaaakshat476 | 05 Jun, 2022, 11:27: AM
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CBSE 11-science - Maths
Find the probability that when 7 cards are drawn from a well shuffled deck of 52 cards, all the aces are obtained.
Asked by Topperlearning User | 12 Aug, 2014, 11:44: AM
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CBSE 11-science - Maths
All cards of ace, jack and queen are removed from a deck of playing cards. One card is drawn at random from the remaining cards, find the probability that the card drawn is a face card.
Asked by Topperlearning User | 12 Aug, 2014, 11:01: AM
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CBSE 11-science - Maths
An administration assistant is given three letters written for three different people. He is also given three addressed envelopes in which to put them and mail them to three people X, Y and Z. What is the probability that atleast one person out of X, Y and Z got the letter written to him.
Asked by Topperlearning User | 12 Aug, 2014, 11:47: AM
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CBSE 11-science - Maths
From the digits 0, 1, 3, 5 and 7, number greater than 5000 but of 4 digits are formed. What is the probability that the number formed is divisible by 5, if(i) The digits are repeated (ii) The digits are not repeated
Asked by Topperlearning User | 12 Aug, 2014, 11:56: AM
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CBSE 11-science - Maths
(i)A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box, what is the probability that(i) all will be blue? (ii) atleast one will be green?(ii) A die has two faces each with number '1', three faces each with number '2' and one face with number '3'. If die is rolled once, determine(i) P(2) (ii) P(1 or 3) (iii) P(not 3)
Asked by Topperlearning User | 12 Aug, 2014, 11:50: AM
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CBSE 11-science - Maths
The odds in favour of an event are 3 : 5. Find the probability of occurrence of this event.
Asked by Topperlearning User | 12 Aug, 2014, 11:03: AM
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