(a).The probability that it will rain on all three days is, [tex]34.3\%[/tex]
(b). The probability that it will rain on exactly two consecutive days is [tex]49\%[/tex]
Probability :
The three-day raining forecast for Friday, Saturday and Sunday is given that,
         Friday = 70 %
         Saturday = 70 %
         Sunday = 70 %
the probability that it will rain on all three days is,
         [tex]P(E)=0.7*0.7*0.7=0.343\\\\P(E)=34.3 \%[/tex]
the probability that it will rain on exactly two consecutive days is,
        [tex]P(E)=0.7*0.7=0.49\\\\P(E)=49\%[/tex]
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