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shusha [124]
3 years ago
11

Can someone help me? It's urgent and thank you!

Mathematics
1 answer:
-BARSIC- [3]3 years ago
5 0

Given:

Number of red marbles = 5

Number of blue marbles = 4

Number of yellow marbles = 3

To find:

The probability of pulling a red marble, then pulling a blue marble, without replacement.

Solution:

Probability formula:

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

We have,

Number of red marbles = 5

Total number of marbles is:

5+4+3=12

Probability of getting a red marble is:

P(Red)=\dfrac{5}{12}

After selecting one red marble, the remaining number of marbles is 11 and the number of blue marbles is 3. So,

P(Blue)=\dfrac{4}{11}

Now, the probability of pulling a red marble, then pulling a blue marble, without replacement is:

\text{Probability percentage}=P(Red)\times P(Blue)\times 100

\text{Probability}=\dfrac{5}{12}\times \dfrac{4}{11}\times 100

\text{Probability}=15.1515...

\text{Probability}\approx 15.2\%

Therefore, the correct option is B.

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