the following coins are in a bag.\n\nyou pick a coin from the bag. then, without replacing it, pick another…

the following coins are in a bag.\n\nyou pick a coin from the bag. then, without replacing it, pick another coin.\nwhat is the probability of picking a nickel, then a quarter?\nanswer as a simplified fraction in the form a/b.

the following coins are in a bag.\n\nyou pick a coin from the bag. then, without replacing it, pick another coin.\nwhat is the probability of picking a nickel, then a quarter?\nanswer as a simplified fraction in the form a/b.

Answer

Explanation:

Step1: Identify total coins & counts

There are 4 coins: 1 nickel, 2 quarters, 1 dime.

Step2: Probability of first pick (nickel)

Probability = $\frac{\text{Number of nickels}}{\text{Total coins}} = \frac{1}{4}$

Step3: Probability of second pick (quarter)

After removing 1 coin, 3 remain. Probability = $\frac{\text{Number of quarters}}{\text{Remaining coins}} = \frac{2}{3}$

Step4: Multiply the two probabilities

Combined probability = $\frac{1}{4} \times \frac{2}{3}$ Simplify: $\frac{1 \times 2}{4 \times 3} = \frac{2}{12} = \frac{1}{6}$

Answer:

$\frac{1}{6}$