Question

question 8 points 2 jasmine has a bag which contains a nickel, a penny, and a dime. find the probability of getting a nickel first and then a penny without replacing the nickel. \\(\frac{1}{3}\\) \\(\frac{1}{6}\\) \\(\frac{1}{9}\\) \\(\frac{1}{12}\\)

Explanation:

Step1: Probability of nickel first

There are 3 coins (nickel, penny, dime), so probability of nickel first is $\frac{1}{3}$.

Step2: Probability of penny after nickel

After removing nickel, 2 coins left. Probability of penny is $\frac{1}{2}$.

Step3: Multiply the probabilities

Multiply the two probabilities: $\frac{1}{3} \times \frac{1}{2} = \frac{1}{6}$.

Answer:

$\frac{1}{6}$ (corresponding to the option with $\frac{1}{6}$)