Let "S=" the event "student is playing sport", "M=" the event "student is playing musical instruments"
Two events "A" and "B" are mutually exclusive if they cannot occur at the same time
Given that "P(S)=0.63, P(M)=0.27, P(\\overline{S\\cup M})=0.2"
Find the probability of a student playing sport or musical instruments or both
The probability of a student playing sport or musical instruments or both is "0.8"
Find the probability of playing both musical instrument and sport
"P(S\\cap M)=P(S)+P(M)-P(S\\cup M)"
The probability of a student playing both musical instrument and sport is "0.1"
Hence the events "student is playing sport" and "student is playing musical instruments" are not mutually exclusive.
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