The table below shows the ages of teachers by departments in our high school:

Question

	21 – 30 years	31 – 40 years	41 – 50 years	51 – 60 years	Total
Science	2	3	4	1	10
Math	3	5	2	2	12
English	4	6	4	1	15
Social Studies	5	3	3	2	13
Total	14	17	13	6	50

a. Find the probability that a randomly selected teacher is 41 to 50 years old?

b. Find the probability that a randomly selected teacher is a 51- 60-year-old Social Studies teacher?

c. Given that a teacher is 21 – 30 years old, find the probability he/she is an English teacher?

d. Given that a teacher is 31- 40 years old, find the probability that he/she is a Science teacher?

Answer 1

a. Find the probability that a randomly selected teacher is 41 to 50 years old?

13/50

b. Find the probability that a randomly selected teacher is a 51- 60-year-old Social Studies teacher?

2/50

c. Given that a teacher is 21 – 30 years old, find the probability he/she is an English teacher?

4/14

d. Given that a teacher is 31- 40 years old, find the probability that he/she is a Science teacher?

3/17