Abag contains 5 blue marbles and 8 orange marbles. polly draws a marble from the bag and then replaces it back into the bag. perry then draws a marble from the bag. what is the probability that both polly and perry draw an orange marble from the bag? which expression will find the answer? a) 8/13 x 7/12 b) 13/8 x 13/8 c) 13/8 x 12/7 d) 8/13 x 8/13

Given there are 5 blue marbles and 8 orange marbles.

Total number of marbles in the bag =5+8=13.

Probability of Polly drawing an orange marble =

As the marbles are replaced .

Probability of Perry drawing an orange marble =

The probability that both Polly and Perry draw an orange marble from the bag =

Option D is the right answer.

Step-by-step explanation:

Given that Mr. Green teaches band, choir and math.

Total students = 57

Students who learn band A = 25

Students who learn math alone =9

From venn diagram we see that

band alone 11 

choir alone 17 

band and choir alone 4 

band and math alone 7 

math and choir alone 6 

band choir and math 3 

math alone 9 from 11+4+10+6+17 + M = 57 

so 

2 classes = 4+7+6 = 17

17 students take exactly two classes with Mr. Green