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Question Number 105853 by bobhans last updated on 01/Aug/20
A box contains 5 balls, 2 balls were  drawn at random, both of which  turned out tobe white. what is the  probability that all the balls in the box  are white ?
$${A}\:{box}\:{contains}\:\mathrm{5}\:{balls},\:\mathrm{2}\:{balls}\:{were} \\ $$$${drawn}\:{at}\:{random},\:{both}\:{of}\:{which} \\ $$$${turned}\:{out}\:{tobe}\:{white}.\:{what}\:{is}\:{the} \\ $$$${probability}\:{that}\:{all}\:{the}\:{balls}\:{in}\:{the}\:{box} \\ $$$${are}\:{white}\:? \\ $$
Commented by bobhans last updated on 01/Aug/20
thank you sir
$${thank}\:{you}\:{sir} \\ $$
Commented by PRITHWISH SEN 2 last updated on 01/Aug/20
Is the question ok ?
$$\mathrm{Is}\:\mathrm{the}\:\mathrm{question}\:\mathrm{ok}\:? \\ $$
Commented by bobhans last updated on 01/Aug/20
in my book is ok
$${in}\:{my}\:{book}\:{is}\:{ok} \\ $$
Commented by mr W last updated on 01/Aug/20
i don′t the question is ok. are the balls  of only two colors or of three colors  or even more?
$${i}\:{don}'{t}\:{the}\:{question}\:{is}\:{ok}.\:{are}\:{the}\:{balls} \\ $$$${of}\:{only}\:{two}\:{colors}\:{or}\:{of}\:{three}\:{colors} \\ $$$${or}\:{even}\:{more}? \\ $$
Commented by mr W last updated on 01/Aug/20
supposed the balls are white or black.  the remaining three balls could be:  BBB  BBW  BWW  WWW  so the possiblity that all balls are write  is (1/4).
$${supposed}\:{the}\:{balls}\:{are}\:{white}\:{or}\:{black}. \\ $$$${the}\:{remaining}\:{three}\:{balls}\:{could}\:{be}: \\ $$$${BBB} \\ $$$${BBW} \\ $$$${BWW} \\ $$$${WWW} \\ $$$${so}\:{the}\:{possiblity}\:{that}\:{all}\:{balls}\:{are}\:{write} \\ $$$${is}\:\frac{\mathrm{1}}{\mathrm{4}}. \\ $$

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