Question

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?

Answer 1

the correct answer is 4/15

Answer 2

Answer:
`(1)/(18)`

Explanation:

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

Then, the probability of selecting a blue pencil :-

`\frac{\text{Number of blue pencil}}{\text{Total pencil}}\\\\=(1)/(1+5)=(1)/(6)`

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

Then, the probability of selecting a gray eraser :-

`\frac{\text{Number of gray erasers}}{\text{Total erasers}}\\\\=(3)/(2+4+3)=(3)/(9)\\\\=(1)/(3)`

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 :-

`(1)/(6)*(1)/(3)=(1)/(18)`

Hence, the probability that he will select a blue pencil and a gray eraser
`=(1)/(18)`