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chapter 3: 3.1 probability terminology (concepts, simple, complements) …

Question

chapter 3: 3.1 probability terminology (concepts, simple, complements)
score: 8/12 answered: 8/12
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question 10
a group of people were asked if some people see the future in their dreams. 154 responded yes, and 442 responded no. find the probability that if a person is chosen at random, the person does not believe some people see the future in their dreams.
probability = (round to 4 decimal places)

Explanation:

Step1: Calculate total number of people

The total number of people is the sum of those who responded "yes" and those who responded "no". So, $154 + 442=596$.

Step2: Calculate the probability

The number of people who do not believe (responded "no") is 442. The probability $P$ that a randomly - chosen person does not believe is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So, $P = \frac{442}{596}\approx0.7416$.

Answer:

$0.7416$