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51 women wore coloured shoes to a party, out of which 21 ...

51 women wore coloured shoes to a party, out of which 21 wore purple and 9 wore white. if a woman is selected at Random. What is the probability that she is wearing neither a purple shoe nor a white shoe?

A.

1017

B.

717

C.

2051

D.

317

E.

151

Correct answer is B

No of women wearing both purple and white shoes = 21 + 9

= 30 women.

No of women wearing neither purple nor white shoes = 51 - 30

= 21 women

Probability of picking a woman wearing neither purple nor white shoes 

= \frac{21}{51}

= \frac{7}{17}.