Abag contains three red marbles, six blue marbles, and three yellow marbles. what is the probability of selecting one red marble, replacing it, and then selecting one blue marble?

A bag contains three red marbles, six blue marbles, and three yellow marbles.

therefore total no. of marbles = 3 + 6 + 3 = 12

total no. of red marble = 3

therefore probablity of selecting one red marble is 3/12 = 1/4

again total no. of blue marbles is 6

therefore probability of selecting one blue marble is 6/12 = 1/2

now total probability of selecting one red ball replacing it then selecting one blue marble is. 1/4 * 1/2 = 1/8

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.