Question

A bag contains 19 red,15 yellow and 14 blue marbles. what is the probability of pulling out a blue marble, followed by a red marble, if you replace the blue marble first

-133/384
-11/16
-33/48
-133/1152
-11/384

Answer 1

133/1152

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

19+15+14 = 48 marbles

Of which 19 are red, 15 are yellow and 14 are blue.

What is the probability of pulling out a blue marble, followed by a red marble, if you replace the blue marble first

Blue marble

48 marbles, of which 14 are blue.

So
`P_(A) = (14)/(48) = (7)/(24)`

Red marble

48 marbles, of which 19 are red.

So
`P_(B) = (19)/(48)`

Both:

`P = P_(A) * P_(B) = (7)/(24) * (19)/(48) = (133)/(1152)`

So the correct answer is:

133/1152