Sir, please help me for getting the solve below question..?

Question

The Probability that a person over 60 years of age in a certain community drinks alcohol is #2/5# and the probability that a person over 60 years of age has heart disease is #2/15#. The probability that a person over 60 years of age drinks alcohol and has heart disease is #1/16#. Are ‘drinking alcohol’ and ‘heart disease’ independent events?

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Answer 1 · 2018-02-23T11:32:40

Not independent events.

For two events two be considered 'independent':
#P(AnnB)=P(A)xxP(B)#

#P(AnnB)=1/16#

#P(A)=2/5#

#P(B)=2/15#

#P(A)P(B)=2/5*2/15=4/75#

#4/75!=1/16#, events are not independent.