Question

the probability that it will be colder tomorrow is 0.6 and the probability it will snow if it gets colder is 0.7 what is the probability that it will be colder and snow tomorrow

Answer 1

Answer:

Solution:

Events:

C=colder; ~C=not colder

S=snow; ~S=not snow

Given

P(S)=0.6

P(C)=0.7

P(~S∩~C)=0.1

by De Morgan's law

P(S∪C)=1-P(~S∩~C)=1-0.1=0.9

=>

P(S∩C)=P(S)+P(C)-P(S∪C)=0.6+0.7-0.9=0.4

P(S|C)=P(S∩C)/P(C)=0.4/0.7=4/7=0.571 (approx.)

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