There are 24
different colored pencils in a box. What is the probability that the orange pencil and then the green pencil will be chosen at random, without replacement? Enter a fraction or round your answer to 4
decimal places, if necessary.
The probability of choosing the orange pencil first is 1/24 since there is 1 orange pencil out of 24 total pencils.
After choosing the orange pencil, there are 23 pencils left in the box and the probability of choosing the green pencil next is 1/23 since there is only 1 green pencil left.
Therefore, the probability of choosing the orange pencil and then the green pencil is (1/24) * (1/23) = 1/552.
Rounded to 4 decimal places, the probability is 0.0018.