Question

If 3 balls are picked at random, what is the probability that all are pink?

• A. $\frac{2}{650}$
• B. $\frac{1}{680}$
• C. $\frac{4}{630}$
• D. $\frac{3}{680}$
• E. $\frac{4}{680}$

Answer 1

The correct option is B $\frac{1}{680}$

${}^{17}{C}_3=17\times 16\times \frac{15}{3}\times 2\times 1=\frac{4080}{6}=680{}^{}{}^3{C}_3=1P=\frac{1}{680}$