The probability that it will rain tomorrow is 0.85. What is the probability that it will not rain tomorrow?

Question:

The probability that it will rain tomorrow is 0.85. What is the probability that it will not rain tomorrow?

Solution:

Given: Probability that it will rain 

TO FIND: Probability that it will not rain

CALCULATION: We know that sum of probability of occurrence of an event and probability of non occurrence of an event is 1.

$P(E)+P(\bar{E})=1$

$0.85+P(\bar{E})=1$

$P(\bar{E})=1-0.85$

$P(\vec{E})=0.15$

Hence the probability that it will not rain is $=0.15$

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