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Three houses are available in a locality. Three persons apply for the houses. Each applies for one houses without consulting others. The probability that all three apply for the same houses is a. `1//9` b. `2//9` c. `7//9` d. `8//9`

A

`1//9`

B

`2//9`

C

`7//9`

D

`8//9`

Text Solution

Verified by Experts

The correct Answer is:
A
Required probability = `("No. of favorable cases")/("Total no. of exhaustive cases")`
= `(3)/(3xx3xx3) = (1)/(9)`
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CENGAGE-PROBABILITY I -Exercise (Single)
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  2. The probability that in a family of 5 members, exactly two members hav...

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  3. Three houses are available in a locality. Three persons apply for the ...

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  4. The numbers 1, 2, 3, ..., n are arrange in a random order. The probabi...

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  5. Words from the letters of the word PROBABILITY are formed by taking al...

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  6. There are only two women among 20 persons taking part in a pleasure ...

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  7. Five different games are to be distributed among 4 children randomly. ...

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  8. A drawer contains 5 brown socks and 4 blue socks well mixed a man r...

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  9. A four figure number is formed of the figures 1, 2, 3, 5 with no rep...

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  10. Twelve balls are distribute among three boxes. The probability that th...

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  11. A cricket club has 15 members, of whom only 5 can bowl . What is the p...

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  12. Seven girls G(1), G(2), G(3), …, G(7) are such that their ages are in ...

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  13. A local post office is to send M telegrams which are distributed at ra...

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  14. Dialling a telephone number an old man forgets the last two digits ...

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  15. Aa n dB toss a fair coin each simultaneously 50 times. The probability...

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  16. In a game called odd man out m(m >2) persons toss a coin to determine ...

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  17. 2n boys are randomly divided into two subgroups containint n boys each...

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  18. If the papers of 4 students can be checked by any one of the 7 teac...

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  19. If the events A and B are mutually exclusive events such that P(A) = (...

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  20. A natural number is chosen at random from the first 100 natural num...

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