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

Answer:

133/1152

Step-by-step 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 $P_{A} = \frac{14}{48} = \frac{7}{24}$

Red marble

48 marbles, of which 19 are red.

So $P_{B} = \frac{19}{48}$

Both:

$P = P_{A} \times P_{B} = \frac{7}{24} \times \frac{19}{48} = \frac{133}{1152}$

So the correct answer is:

133/1152