Question

This table shows the results of a questionnaire that students answered about their preference for online learning or face-to-face learning

Gender	Male	Female
Face-to-face learning	5	14
Online learning	2	9

Answer these questions. One student selected at random, find the probability that.
a. The student does prefer online learning given that he is a male.

b. The student prefers face-to-face learning, or she is female.

c. The student either male or prefer face-to-face learning.

Answer 1

Gender Face to face Male Online Learning Female 14 5 2 9 Gender Male Female Total La 5 Face to Face Learning Online Learning 14 19 2. 9 U Total 7 23 30 a) students that he is prefer online learning given male. a prefer online baconing Probability of that peason, P [online Learning) = 0 and maile and male student is male a Probability that P(м) 7 that he is online Probability of student prefer learning given P (online learning) PC male) male is 2

lbl student prefer face to face learning as she is female. P ( face to face learning to female) P(AUB) = P(A) + PCBD -PCAOB). 19 P(face to face learning) P (female) 23 P(face to face learning in female) = 14 p( Total students) = 30 Plface to face learning or fernale) pe face to face learning) + p (female) Pltace to face AND female) P(Total students ) 19 +23-14 30 28 30 P(face to face learning 28 30 or female ) c) student either male 01 prefer face to face learning P ( face to face leo learning) 19 7. PC male) P (face to face learning AND male) = 30 P (Total students) 5

P (male 091 face to face learning) P(male) + P ( Prefer face to face learning) Pltonale and face to tace learning) PC Total students ] 7+19-5 30 30 P (male or prefer face to face learning) z 21 30