Final answer:
The probability of selecting one of each cookie is 0.03.
Step-by-step explanation:
To find the probability of selecting one of each cookie, we need to calculate the probability of selecting a peanut butter cookie, a caramel delight, and a lemon cookie in succession without replacement.
The total number of cookies in the jar is 3 + 6 + 9 = 18.
The probability of selecting a peanut butter cookie is 3/18.
After selecting a peanut butter cookie, there are 17 cookies left in the jar, including 6 caramel delights. So, the probability of selecting a caramel delight is 6/17.
After selecting a caramel delight, there are 16 cookies left, including 9 lemon cookies. Therefore, the probability of selecting a lemon cookie is 9/16.
The probability of selecting one of each cookie is (3/18) * (6/17) * (9/16) = 0.031.
Rounded to two decimal places, the probability is approximately 0.03.