Respuesta :
Answer:
It's the second option, 0.13.
Step-by-step explanation:
Step 1 : Find how many marbles there are in the bag all together.
4 + 4 + 12 = 20 marbles all together
Step 2 : Find what the probability of choosing a red marble is first.
4 red marbles out of 20 marbles =
[tex]P_{1} = \frac{4}{20}[/tex]
Step 3 : Find the probability of choosing a yellow marble now.
Since one red marble was already taken, there are less marbles in total.
Instead of 20 marbles now there are only 19 marbles.
There are 12 yellow marbles out of 19 marbles =
[tex]P_{2} = \frac{12}{19}[/tex]
Step 4 : To get the probability of both of these events happening, we multiply the 2 probabilities.
[tex]\frac{4}{20}[/tex] · [tex]\frac{12}{19}[/tex] = [tex]\frac{12}{95}[/tex]
Step 5 : Express your answer as a decimal.
12 ÷ 95 = 0.12631578947
Rounded to the nearest hundreth that's 0.13.
It's the second option, 0.13.
Hope this helps, please mark brainliest if possible. Have a nice day. :)
The probability of choosing a red and then a yellow marble is 0.13.
What is the probability?
Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
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.
That means that there are a total of 4+4+12=20 marbles.
Now 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 = 4/ 20
The probability of choosing a yellow marble on the second draw is:
P = 12/19
Hence, the probability of choosing a red and then a yellow marble is:
P = 4/ 20 x 12/19
P = 0.13
Hence, the probability of choosing a red and then a yellow marble is 0.13.
Learn more about probability here;
https://brainly.com/question/11234923
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