help
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 yellow pencil and a pink eraser?

Question

help
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 yellow pencil and a pink eraser?

directrix · Answer

Probability is the ratio of successful outcomes to the total number of outcomes.

directrix · Answer

There are 6 pencils. Five of them are yellow. The probability of randomly selecting a yellow pencil is 5/6.

directrix · Answer

There are 9 erasers. Two of them are pink.
The probability of selecting a pink eraser is 2/9.

directrix · Answer

The probability of selecting a yellow pencil AND a pink eraser is the following:

5/6 times 2/9 = 5/27.  Check my arithmetic.

directrix · Answer

Interpretation: If you randomly select a pencil AND randomly select an eraser for 27 different trials, you can expect, on average, to get a yellow pencil AND a pink eraser 5 of the 27 times you do the selections. @kaymontana988