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Given that the drawn ball from U2 is whi...

Given that the drawn ball from U2 is white, the probability that head appeared on the coin

A

`(17)/(23)`

B

`(11)/(23)`

C

`(15)/(23)`

D

`(12)/(23)`

Text Solution

Verified by Experts

The correct Answer is:
D

`P("Head appeared/white from" U_(2))`
`=P(H)*({(""^(3)C_(1))/(""^(5)C_(1))xx(""^(2)C_(1))/(""^(2)C_(1))+(""^(2)C_(1))/(""^(5)C_(1))xx(""^(1)C_(1))/(""^(2)C_(1))})/(23//30)`
`=(1)/(2)({(3)/(5)+1+(2)/(5)xx(1)/(2)})/(20//30)`
`(12)/(23)`
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