(a) If one student is selected at random from these 400 students, find the probability that this student Prefers sugar free drinks (i) (ii) Prefers juice (iii) Prefers regular juice
(a) If one student is selected at random from these 400 students, find the probability that this student Prefers sugar free drinks (i) (ii) Prefers juice (iii) Prefers regular juice
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text:Given the new fad of health consciousness, a random sample of 400 college students was asked
what their preferred type of drink was and whether they took regular or sugar free. The following
table gives a two-way classification of the responses.
Regular
Sugar free
TOTALS
Juice
210
95
305
Iced Coffee
75
20
95
TOTALS
285
115
400
(a) If one student is selected at random from these 400 students, find the probability that this
student
(i) Prefers sugar free drinks
(ii) Prefers juice
(iii) Prefers regular juice
(iv) Prefers juice given that it is a sugar free drink.
(v) Prefers iced coffee or that drinks must be sugar free.
(b) Are the events 'prefers juice' and 'prefers sugar free drinks' independent? Use probabilities to
state your answer.
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