Question

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

Answer 1

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.