Use the given data of students enrolled in either an Undergraduate program, Master’s program, or a Ph. D. program and drink of choice.

Question

	Coffee	Tea	Energy Drink
Undergrad	53	21	72
Master's	61	32	14
PHD	102	11	4

Find the probability that a randomly selected student is:

1) in a Ph. D program.

2) whose drink of choice is coffee.

3) whose drink of choice is an energy drink and is in a Master’s program 

4) Either in an Undergraduate program or like coffee.

5) In a Ph. D. program given the student likes coffee. 

Answer 1

	Coffee	Tea	Energy drink	TOTAL
Undergrad	53	21	72	146
Master’s	61	32	14	107
PhD	102	11	4	117
TOTAL	216	64	90	370

1) 117/370=0.3162 or 31.62%

2) 216/370=108/185=0.5838 or 58.38%

3) 14/370=7/185=0.0378 or 3.78%

4) ((21+72)+(61+102))/370=256/370=128/185=0.6919 or 69.19%

5) 102/216=17/36=0.4722 or 47.22%

Decimals are approximations.