Answer:
P(red then blue) is
![(15)/(121)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3jvzdqev2fpp41mjo2lsm66qyqih91550a.png)
Explanation:
Number of red marbles = 3
Number of white marbles = 3
Number of blue marbles = 5
Total number of marbles = 3+3+5=11
We are given that You return the first marble to the bag and then choose again.
We are supposed to find the P(red then blue).
Probability of drawing red marble =
![(3)/(11)](https://img.qammunity.org/2021/formulas/mathematics/high-school/6mjfnnoazs7l5ezvg9tqq1nu4yg4daioj4.png)
You return the ball
So,Probability of drawing blue marble =
![(5)/(11)](https://img.qammunity.org/2021/formulas/business/college/cz8em1wp34glhuch6nqc85i33h5prwt8ix.png)
So,P(Red then blue)=
![(3)/(11) * (5)/(11)=(15)/(121)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jz9rku2w5xqtmm5wgpq6awfz5zimemmvdu.png)
Hence P(red then blue) is
![(15)/(121)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3jvzdqev2fpp41mjo2lsm66qyqih91550a.png)