Answer:
The expression would give the probability that one marble is yellow and the other marble is red is,
[tex]P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)[/tex]
Step-by-step explanation:
A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. So in total there are 25 marbles.
Hence,
Probability of getting yellow ball = [tex]P(Y)=\dfrac{8}{25}[/tex]
Probability of getting red ball = [tex]P(R)=\dfrac{5}{25}[/tex]
Probability that one marble is yellow and the other marble is red is,
[tex]P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)=\dfrac{8}{25}\cdot \dfrac{5}{25}+\dfrac{5}{25}\cdot \dfrac{8}{25}=0.128[/tex]
