Answer to Question #244591 in Statistics and Probability for Martha

Question

Out of ten students the favorite drink of 7 is Cokeand the favorite drink of the rest is fanta.one of the students is asked at random what is the probability that the favorite drink of the student is
a .Coke b.fanta c.neither Coke or fanta
d.either Coke or fanta

Answer 1

a. Total number of outcomes: $n=10$ ;

Favorable outcomes: $m=7$ .

Then the wanted probability is

$p = \frac{m}{n} = \frac{7}{{10}} = 0.7$

Answer: $p=0.7$

b. Total number of outcomes: $n=10$ ;

Favorable outcomes: $m=10-7=3$ .

Then the wanted probability is

$p = \frac{m}{n} = \frac{3}{{10}} = 0.3$

Answer: $p=0.3$

c. Since there are no students among the students whose favorite drink is neither coca nor fanta, the wanted probability is $p=0$ .

Answer: $p=0$

d. Since every student likes either a cook or a fanta, the wanted probability is $p=1$ .

Answer: $p=1$