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Probability of raining tomorrow is 0.3 , what is the probability it will not rain.Group of answer choices0Cannot be determined0.30.7

Question

Probability of raining tomorrow is 0.3 , what is the probability it will not rain.Group of answer choices0Cannot be determined0.30.7

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Solution

To determine the probability that it will not rain tomorrow, we can use the concept of complementary events in probability. The probability of an event and its complement always add up to 1.

Given:

  • Probability of raining tomorrow (P(Rain)) = 0.3

We need to find the probability that it will not rain tomorrow (P(Not Rain)).

Step-by-step solution:

  1. Identify the probability of the complementary event (not raining).
  2. Use the formula for complementary events: P(Not Rain)=1P(Rain) P(\text{Not Rain}) = 1 - P(\text{Rain})
  3. Substitute the given probability into the formula: P(Not Rain)=10.3 P(\text{Not Rain}) = 1 - 0.3
  4. Perform the subtraction: P(Not Rain)=0.7 P(\text{Not Rain}) = 0.7

Therefore, the probability that it will not rain tomorrow is 0.7.

So, the correct answer is:

  • 0.7

This problem has been solved

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