Probabilities are used to determine the chances of picking a marble
The probability of picking a blue marble is: x/20
The given parameters are:
[tex]\mathbf{Marbles = 40}[/tex]
[tex]\mathbf{Red = x}[/tex]
The probability of picking a red marble is calculated as:
[tex]\mathbf{Pr = \frac{Red}{Marbles}}[/tex]
Substitute values for Red and Marbles
[tex]\mathbf{Pr = \frac{x}{40}}[/tex]
He is twice as likely to randomly pick a blue marble from a bag as she is to pick a red marble
So, the probability of picking a blue marble is:
[tex]\mathbf{P(Blue) = 2 \times \frac x{40}}[/tex]
This gives
[tex]\mathbf{P(Blue) = \frac x{20}}[/tex]
Hence, the probability of picking a blue marble is: x/20
Read more about probabilities at:
https://brainly.com/question/11234923
