Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

Two urns contains 1 white,6 red and 4 white,3 red balls. One of t 3 he urn is selected at random and a ball is drawn from it. Find: (1) The probability of drawing a red ball. (ii) The probability of drawing the ball from the first urn if b all drawn is red.
Asked by babitdevi283 | 14 Nov, 2023, 09:42: PM
answered-by-expert Expert Answer
Let P(U1) = 1/2  be the probability of urn-I is selected to draw the ball,
 
Let P(U2 ) = 1/2  be the probability of urn-II is selected to draw the ball .
 
Probability of selecting red ball from urn-I is , P(R | U1 ) = 6/7 ;
 
Probability of selecting red ball from urn-2 is , P(R | U2 ) = 3/7 ;
 
Probability of selecting red ball from any one of urn  = P(U1 ) P ( R | U1 ) + P(U2 ) P ( R | U2 )
 
Probability of selecting red ball from any one of urn  = (1/2) (6/7) + (1/2)(3/7) = 9/14
 
----------------------------------------------------
 
By Baye's theorem , if selected ball is Red and the probability that this red ball is selected from urn-II is
 
begin mathsize 14px style P left parenthesis U subscript 2 space vertical line space R space right parenthesis space equals space fraction numerator P left parenthesis U subscript 2 right parenthesis space P left parenthesis space R space vertical line space U subscript 2 right parenthesis over denominator P left parenthesis U subscript 1 right parenthesis space P left parenthesis R vertical line U subscript 1 right parenthesis plus space P left parenthesis U subscript 2 right parenthesis P left parenthesis R vertical line U subscript 2 right parenthesis end fraction space equals space fraction numerator begin display style 1 half end style cross times begin display style 3 over 7 end style over denominator begin display style 1 half end style cross times begin display style 6 over 7 end style plus begin display style 1 half end style cross times begin display style 3 over 7 end style end fraction space equals space 1 third space end style
Answered by Thiyagarajan K | 17 Nov, 2023, 11:04: PM
CBSE 12-science - Maths
Asked by jain.pradeep | 05 Dec, 2019, 12:26: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 19 Aug, 2016, 11:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 19 Aug, 2016, 11:37: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×