Question

3. A marble is drawn from a bag containing 3 red marbles and 2 blue marbles and a number cube with faces numbered 1 through 6 is tossed.

What is the probability that the marble drawn is blue and the number cube shows a number less than 3?

A. 11/15


B. 1/4


C. 1/6


D. 2/15

Answer 1

How many total marbles are there?

Answer 2

5

Answer 3

Alright, so for marbles, we have a total of 5 and for the dice, it's a total of 6

The question says for a blue marble to be drawn, so we can put

\[\frac{ 2 }{ 5 }\]

2 represents the blue marbles and 5 represents the total marbles.

Now, how would we do the dice in a fraction?

Answer 4

hmmm.. so \[\frac{ 4 }{ 6 } ?\]

Answer 5

Almost, they asked for numbers LESS than 3, not 3 or greater

Answer 6

Ohhhhhhhhhh!!! So, \[\frac{ 2 }{ 6 }\]

Answer 7

Exactly!

Answer 8

Now the last step that we do is multiply (And simplify if needed ofcourse)

\[(\frac{ 2 }{ 6 })(\frac{ 2 }{ 5 }) = ?\]

Answer 9

\[\frac{ 2 }{ 6 } \times \frac{ 2 }{ 5 } = \frac{ 2 }{ 15 }\]

Answer 10

Perfect

Answer 11

Thank you so much!!

Answer 12

You're welcome =)