Tara has two bags of marbles 6 red marbles, 5 blur marbles, and 4 green. the second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. tara will randomly select 1 marble from each bag. what is the probability that tara will select a blue marble from each bag

Respuesta :

The correct answer is:


2/27


Explanation:


The two events, drawing a blue marble out of each bag, are independent. This means to find the probability of both occurring, we multiply them.


In the first bag, there are 5 blue marbles out of 15 total. This makes the probability 5/15, or 1/3.


In the second bag, there are 2 blue marbles out of 9 total. This makes the probability 2/9.


Together, the probability of both events happening are:

1/3(2/9) = 2/27