Respuesta :
Answer:
The probability of that she pulled out a red marble first and a yellow marble second is:
0.13
Step-by-step 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:
[tex]P_1=\dfrac{4}{20}[/tex]
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
=[tex]P_2=\dfrac{12}{19}[/tex]
Hence, the probability of choosing a red and then a yellow marble is:
[tex]P=P_1\times P_2\\\\P=\dfrac{4}{20}\times \dfrac{12}{19}=\dfrac{12}{95}=0.1263157[/tex].
Hence, to the nearest hundredth the probability is:0.13
