Question

Five hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table.

	18–24	25–34	35–55	55 and over	Total
Liked Crunchicles	4	20	23	35	82
Disliked Crunchicles	47	56	44	38	185
No Preference	27	8	28	170	233
Total	78	84	95	243	500

One consumer from the survey is selected at random. Use reduced fractions for your responses to each of the following questions.

What is the probability that the consumer is 18–24 years of age, given that he/she dislikes Crunchicles?



What is the probability that the selected consumer dislikes Crunchicles?



What is the probability that the selected consumer is 35–55 years old or likes Crunchicles?



If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?

Answer 1

Some rules of probability

P(A|B)=

Five hundred consumers were surveyed about a new brand of snack food, Crunchicles.Their age groups and preferences are given in the table.

	18–24 (A)	25–34 (B)	35–55 (C)	55 and over (D)	Total
Liked Crunchicles (L)	4	20	23	35	82
Disliked Crunchicles (Dis)	47	56	44	38	185
No Preference (N)	27	8	28	170	233
Total	78	84	95	243	500

One consumer from the survey is selected at random. Use reduced fractions for your responses to each of the following questions.

What is the probability that the consumer is 18–24 years of age, given that he/she dislikes Crunchicles?

P( A | Dis)

What is the probability that the selected consumer dislikes Crunchicles?
P (Dis) = =

What is the probability that the selected consumer is 35–55 years old or likes Crunchicles?

This is asking to calculate union probability.

=
=

=  

If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?

This mean that probability of person liking cruchicles given he/she is 70 years old

=