Question

Determine whether the events are independent (I) or dependent (D). Place your answer in the blank provided. 1. Ramiro draws a marble from a jar, does not replace it, and then flips a coin.

Answer 1

Independent events

Explanation:

Given that:

Ramiro draws a marble from a jar without replacement and then flips a coin

Let
`E_1` be the event that Ramiro draws a marble without replacement and;

Let
`E_2` be the event of flipping a coin.

Let's have an analogy so that we can better understand the concept of independent and dependent events.

Consider a random experiment in which a marble is drawn from a jar without replacement and a fair coin is flipped together.

The event
`E_1` does not in any way affect the event
`E_2` of a head or a tail showing up in a flip of a coin.

Therefore, we say that
`E_1` and
`E_2` are independent events.

Suppose the event
`E_1` affects or influence the event
`E_2` , then we can say they are dependent events.