Question

Grant has been saving coins each day for a week. In his drawer, he has 8 quarters, 9 dimes, 6 nickels, and 7 pennies. If he picks two coins without replacing them, what is the probability he will pick two nickels?

Answer 1

$P_{2nickles}=(P_{first=nickle}) \times (P_{second=nickle})$
$P_{2nickles}=\frac{nickle}{total} \times\frac{nickle}{total}$
$P_{2nickles}=\frac{6}{30} \times\frac{5}{29}$
$P_{2nickles}=\frac{30}{870} \approx 3.44\%$