Question

In a group of 150 students, 60 like "vegetables", 40 like "fruits" and 30 like both. A student is selected at random,
a) What is the probability that he/she likes "vegetables" or "fruits"?
b) What is the probability that he/she does not like "fruits"?
c) What is the probability that neither fruits nor vegetables?
d) What is the probability that he/she likes fruits, but not vegetables?
e) What is the probability that he/she likes "fruits" since he/she likes "vegetables"?
The answers are:

a:0.4667

b:0.7333

c:0.5333

d:0.0667

e:0.50

I need to know how to get to those answers

Answer 1

Solution:

Let A be the event representing students who likes vegetables

B be the event representing students who likes fruits

   event representing students who likes both vegetables and fruits

S is the sample space representing group of students

  

  

a) Probability that he /she likes "vegetables" or "fruits" is given by

  

b) B' representing event he / she doesn't like fruits

Probabilty that he/ she doesn't like fruits is given by

c) Let A' be the event representing students he/ she doesn't like vegetables

Probability that he/ she neither fruits nor vegetables is given by

d) C be the event representing he she like fruit but not vegetables

Probability that he/ she likes fruits but not vegatables is given by

  

e) Probabilty that he/ she likes fruits since he/she like vegetables is given by

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