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}=\frac{\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)=(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)=(4)/(11)`

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

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

`\text{Probability}=(5)/(12)* (4)/(11)* 100`

`\text{Probability}=15.1515...`

`\text{Probability}\approx 15.2\%`

Therefore, the correct option is B.