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Refer to Question 74 above. The probability that exactly two of the three balls were red, with the first ball being red, is

0 6 Views | Posted 3 months ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    3 months ago

    This is a Objective Type Questions as classified in NCERT Exemplar

    Sol:

    According  to  Question  74,Let  E1  be  event  that  first  ball  is  red.          E2 be  event  that  exactly  two  of  the  three  balls  are  red.∴  P(E1)=P(R).P(R).P(B)+P(R).P(R).P(R)+P(R).P(B).P(R)+P(R).P(B).P(B)                   =58.47.36+58.47.36+58.37.46+58.37.26                   =60336+60336+60336+30336=210336P(E1∩E2)=P(R).P(B).P(R)+P(R).P(R).P(B)                          =58.37.46+58.47.36=60336+60336=120336∴P(E2/E1)=P(E1∩E2)P(E1)=120/336210/336=47Hence,  the  correct  option  is  (b).

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