Daniel has 1 blue pencil and 5 yellow pencils in his backpack. he also has 2 pink erasers, 4 tan erasers, and 3 gray erasers in his backpack. if daniel randomly selects one pencil and one eraser from his backpack, what is the probability that he will select a blue pencil and a gray eraser?

Step-by-step explanation:

Given : Daniel has 1 blue pencil and 5 yellow pencils in his backpack.

Then, the probability of selecting a blue pencil :-

He also has 2 pink erasers, 4 tan erasers, and 3 gray erasers in his backpack.

Then, the probability of selecting a gray eraser :-

Since both the event are independent of each other.

Then, the probability that he will select a blue pencil and a gray eraser will be :-

Hence, the probability that he will select a blue pencil and a gray eraser