Question

a box contains 7 orange pencils, 4 yellow pencils, and 3 green pencils. two pencils are selected, one at a time, with replacement. find the probability that the first pencil is green and the second pencil is yellow. express your answer as a decimal rounded to the nearest hundredth.

Explanation:

Step1: Calculate the total number of pencils

The total number of pencils is \(7 + 4+3=14\).

Step2: Calculate the probability of the first pencil being green

The number of green pencils is \(3\). The probability of selecting a green pencil first is \(\frac{3}{14}\approx0.21\) (rounded to the nearest hundredth).

Answer:

\(0.21\)