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Nutka1998 [239]
3 years ago
14

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

hat 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.
Mathematics
2 answers:
Degger [83]3 years ago
5 0
It is the 2nd option. 0.13
Sauron [17]3 years ago
5 0

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:

P_1=\dfrac{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=\dfrac{12}{19}

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

P=P_1\times P_2\\\\P=\dfrac{4}{20}\times \dfrac{12}{19}=\dfrac{12}{95}=0.1263157.

Hence, to the nearest hundredth the probability is:0.13

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