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

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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)` Select the correct answer from above options

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Correct Answer - 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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