Question

A bag contains 5 black marbles and 4 white marbles. A spinner has 3 equal sections labeled 1 through 3.

What is the probability of drawing a black marble from the bag and spinning a 1 on the spinner?

Answer 1

`5+4=9 \leftarrow \text{marbles in total}`


`\text{The probability of drawing a black marble is } (5)/(9)`


`\text{The probability of spinning a 1 is } (1)/(3)`


`\text{The probability of both is } (5)/(9)\cdot(1)/(3)=(5)/(27)`