In a survey, students were asked whether they study Mathematics (M), Physics (P) and…

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

In a survey, students were asked whether they study Mathematics (M), Physics (P) and Chemistry (C). The following probabilities were estimated:

P(M)=0.45

P(P)=0.35

P(C)=0.25

P(M\cap P)=0.15

P(M\cap C)=0.10

P(P\cap C)=0.08

and

P(M\cap P\cap C)=0.05

. What is the probability that a randomly chosen student studies at least one of the three subjects? (a)

0.67

(b)

0.82

(c)

0.77

(d)

0.72