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A man has 3 pairs of black socks and 2 p...

A man has 3 pairs of black socks and 2 pair of brown socks kept together in a box. If he dressed hurriedly in the dark, the probability that after he has put on a black sock, he will then put on another black sock is `1//3` b. `2//3` c. `3//5` d. `2//15`

A

`1//3`

B

`2//3`

C

`3//5`

D

`2//15`

Text Solution

Verified by Experts

The correct Answer is:
A
(1) `P(B_(1))=(""^(6)C_(1))/(""^(10)C_(1))=6/10=3/5`
`P(B_(2)//B_(1))=5/9(B_(2)="black")`
`thereforeP(B_(1)nnB_(2))=P(B_(1))P(B_(2)//B_(1))=3/5xx5/9=1/3`
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CENGAGE-PROBABILITY II-Exercise (Single)
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  6. Ina certain town, 40% of the people have brown hair, 25% have brown ...

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  8. The probability that an automobile will be stolen and found within one...

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  9. A pair of numbers is picked up randomly (without replacement) from the...

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  11. One ticket is selected at random from 100 tickets numbered 00,01,02, …...

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  12. about to only mathematics

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  13. Cards are drawn one-by-one at random from a well-shuffled pack of 52 ...

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  14. A bag contains n white and n red balls. Pairs of balls are drawn witho...

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  15. A six-faced dice is so biased that it is twice as likely to show an ...

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  16. A student appears for tests I, II and III. The student is successful i...

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  17. A problem in mathematics is given to three students A ,B ,C and their ...

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  18. Let A,B, C be three mutually independent events. Consider the two stat...

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  19. Three ships A ,B ,a n dC sail from England to India. If the ratio of t...

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  20. Cards are drawn one by one without replacement from a pack of 52 cards...

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