A box contains 6 balls of unknown colours, 3 balls are drawn and they are found to be white. Then the probability that all 6 balls are white balls is

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$\frac{7}{16}$

$\frac{9}{16}$

$\frac{4}{7}$

$\frac{1}{35}$

answer is B.

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Detailed Solution

$3 b a l l s a r e d r a w n f r o m 6 b a l l s a n d t h e y a r e f o u n d t o b e w h i t e i s 6_{c_{3}} A l l t h e 6 b a l l s a r e w h i t e =^{3} C_{3} +^{4} C_{3} +^{5} C_{3} +^{6} C_{3}$

$\frac{^{6} C_{3}}{^{3} C_{3} +^{4} C_{3} +^{5} C_{3} +^{6} C_{3}} = \frac{4}{7}$

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