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shutvik [7]
3 years ago
12

The number of marbles of different colors stored in a hat is listed below:

Mathematics
2 answers:
posledela3 years ago
8 0

Answer:

\frac{1}{16}

Step-by-step explanation:

Given : The number of marbles of different colors stored in a hat is listed below:

8 red marbles

10 green marbles

6 blue marbles

To Find: What is the probability that Tessa takes out a blue marble in both draws?

Solution:

8 red marbles

10 green marbles

6 blue marbles

Total Marbles = 8+10+6= 24

Probability of getting blue marble on first draw = \frac{\text{No. of blue marbles}}{\text{Total no. of marbles}}

Probability of getting blue marble on first draw = \frac{6}{24}

Now the marble is replaced

Probability of getting blue marble on second draw = \frac{\text{No. of blue marbles}}{\text{Total no. of marbles}}

Probability of getting blue marble on second draw = \frac{6}{24}

So, probability of getting blue marble on both the draws =  \frac{6}{24} \times \frac{6}{24}

                                                                                               =  \frac{36}{576}

                                                                                               =  \frac{1}{16}

Hence the probability that Tessa takes out a blue marble in both draws is \frac{1}{16}

Kamila [148]3 years ago
7 0
There is a 1/4 chance of getting the Blue Marble out of the bag. But when it is 2 in a row you have to multiply your chances so it would be 1/4 * 1/4 or 1/16
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