the probability of the temperature dropping below the freezing level on monday and tuesday is 0.2 and 0.35…

Explanation:

Step1: Find non - freezing probabilities

The probability of temperature dropping below freezing on Monday is $P(M) = 0.2$, so the probability of not dropping below freezing on Monday is $P(\overline{M})=1 - 0.2=0.8$. The probability of temperature dropping below freezing on Tuesday is $P(T)=0.35$, so the probability of not dropping below freezing on Tuesday is $P(\overline{T}) = 1 - 0.35=0.65$.

Step2: Use multiplication rule for independent events

Since the events of temperature not dropping below freezing on Monday and Tuesday are independent, the probability that the temperature will not drop below freezing on both days is $P(\overline{M}\cap\overline{T})=P(\overline{M})\times P(\overline{T})$. $P(\overline{M})\times P(\overline{T})=0.8\times0.65 = 0.52$. But if we assume there was a mis - understanding and we want the complement of the event of dropping below freezing on both days: The probability of dropping below freezing on both days is $P(M\cap T)=P(M)\times P(T)=0.2\times0.35 = 0.07$. The probability of not dropping below freezing on both days (complement of dropping below freezing on both days) is $1 - P(M\cap T)=1 - 0.07=0.93$.

Answer:

0.93