Question

Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.what is the probability that she pulled out a red marble first and a yellow marble second? express your answer in decimal form, rounded to the nearest hundredth.

Answer 1

It is the 2nd option. 0.13

Answer 2

The probability of that she pulled out a red marble first and a yellow marble second is:

0.13

Explanation:

It is given that:

Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.

This means that there are a total of:4+4+12=20 marbles.

Now we are asked to find the probability that she pulled out a red marble first and a yellow marble second.

The probability of choosing a red marble out of 20 marbles is:

`P_1=(4)/(20)`

and the probability of choosing a yellow marble on the second draw(i.e. now we have to choose among the 19 remaining marbles) is:

Number of yellow marbles in the bag/19

=
`P_2=(12)/(19)`

Hence, the probability of choosing a red and then a yellow marble is:

`P=P_1* P_2\\\\P=(4)/(20)* (12)/(19)=(12)/(95)=0.1263157`.

Hence, to the nearest hundredth the probability is:0.13