Question

in how many ways can carlos draw a blue or a green marble from a jar containing 30 blue marbles and 6 green marbles? 5 180 36 24

Explanation:

Step1: Apply the addition principle

The addition principle states that if there are \(m\) ways to do one thing and \(n\) ways to do another thing, and the two things are mutually - exclusive (cannot be done at the same time), then there are \(m + n\) ways to do either thing.
Here, the number of ways to draw a blue marble \(m=30\) (since there are 30 blue marbles) and the number of ways to draw a green marble \(n = 6\) (since there are 6 green marbles).

Step2: Calculate the total number of ways

We use the formula \(N=m + n\). Substitute \(m = 30\) and \(n=6\) into the formula: \(N=30+6\).

Answer:

36