Question

PLEASE HELP ASAP

1. What is the probability a randomly selected student is in drama or athletics? Express your answer in simplest fraction form.

2. What is the probability a randomly selected student is in athletics and drama, or music and athletics? Express your answer in simplest fraction form.

Answer 1

1. 68/89

2. 46/267

Explanation:

1. The total number of people in drama or athletics can be found by adding up all categories where a person fits at least one of the criteria:

51+11+12+15+108+7=204

Now we need to add up the total number of people in all categories:

51+11+12+15+108+7+63=267

Finally, we divide the total number of people in either drama or athletics by the total number of people in all categories:

204/267 = 68/89

2. The total number of people in athletics and drama can be found by adding up all categories where a person fits both criteria:

15+12=27

The total number of people in music and athletics can be found by adding up all categories where a person fits both criteria:

7+12=19

Now, we add both of these numbers together and put it all over the total number of people:

27+19=46

46/267