Question

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

What is the First Rule to consider? Are the events of drawing a marble and tossing a a cube independent or dependent events?

Answer 2

Im not sure.

Answer 3

Lets look at the Rule:

Independent events = the outcome of the first event does not influence the outcome of the second event

Dependent events= the outcome of the first event influences the outcome of the second event

Answer 4

I know all that i just think my answers wrong i got C.

Answer 5

The events are independent...drawing a marble is completely separate from tossing the cube

Answer 6

RULE: To determining the PROBABILITY OF TWO INDEPENDENT EVENTS:

Probability that one event AND a second independent event will occur =

Probability of desired event #1 occurring x Probability of desired event #2 occurring

Answer 7

Probability of a desired event occurring =
Number of desired outcomes / Number of possible outcomes

Answer 8

so whats the answer.

Answer 9

Probability of desired event #1 occurring (DRAWING A BLUE MARBLE) =
Number of desired outcomes (2 BLUE MARBLES)/Number of possible outcomes (5 TOTAL MARBLES) = 2/5

Answer 10

I am explaining it step by step so you can answer any problem like this

Answer 11

I know the steps but i got wrong answer i think i got C. is that right or wrong. :(

Answer 12

I have to work through the steps to get to the answer

Answer 13

Probability of desired event #2 occurring (GETTING A #1 OR #2 ON CUBE) =

Number of desired outcomes (2)/Number of possible outcomes (6 TOTAL FACES) = 2/6

Answer 14

Probability of desired event #1 occurring x Probability of desired event #2 occurring =

Answer 15

Now just plug into this equation the values I got for "Probability of event #1" and "Probability of event #2"!

Answer 16

so my answers A. :)

Answer 17

What is the Probability of event #1 occurring (DRAWING A BLUE MARBLE)?

Answer 18

2/5

Answer 19

good!

Answer 20

Whats the Probability of desired event #2 occurring (GETTING A #1 OR #2 ON CUBE) ?

Answer 21

Now just plug into this equation the values I got for "Probability of event #1" and "Probability of event #2"!