Question

What is the probability of pulling out a red marble from a bag that contains 5 green, 2 red, and 10 white marbles?

A. 1/17
B. 2/17
C. 15/17

Answer 1

`\boxed {\boxed {\sf B. \ (2)/(17)}}`

Explanation:

The probability can be found by dividing the number of favorable outcomes by the total outcomes.

`P=(favorable \ outcomes)/(total \ outcomes)}`

In this problem, the favorable outcome is a red marble. The total is all the marbles.

`P(red)=(red \ marbles)/(all \ marbles)}`

• There are 2 red marbles
• To find the total number of marbles, add them up.
• 5 green + 2 red + 10 white = 17 marbles

`P(red)=(2)/(17)`

This fraction cannot be reduced further, so it is the answer.

The probability of drawing a red marble is 2/17