Question

Colin and Fabio both put marbles into the same box. What is the probability that a green marble is drawn given that it is one of Colin's marbles?

Answer 1

Answer:

`(2)/(5\\)`

Explanation:

Let's calculate the probability of drawing a green marble, given that it is one of Colin's marbles.

Colin has a total of 5 marbles, with 3 being purple and 2 being green. Therefore, there are 2 green marbles among Colin's collection.

To find the probability, we use the formula:

Probability = Number of favorable outcomes / Total number of possible outcomes

In this case, the favorable outcome is drawing a green marble, and the total number of possible outcomes is drawing any of Colin's marbles.

The number of favorable outcomes (green marbles) is 2, and the total number of possible outcomes (Colin's marbles) is 5.

Therefore, the probability of drawing a green marble, given that it is one of Colin's marbles, is:

Probability =
`(2)/(5\\)`

Thus, the probability simplifies to
`(2)/(5\\)`.