Question

The teacher gave a true and false quiz where P(true) = 0.3 for each question. Interpret the likelihood that the first question will be true. Likely. Unlikely. Equally likely and unlikely. This value is not possible to represent probability of a chance event.

Answer 1

(b) unlikely

Explanation:

You want to know if an event with probability 0.3 is likely, unlikely, equally likely, or not possible to evaluate.

True

The probability the first question on the quiz is true is given as 0.3. This means the probability it will be false is 1 -0.3 = 0.7. That is, it is more likely to be false than it is to be true. We cannot say that true and false are "equally likely."

We can interpret the likelyihood the question is true as "Unlikely", choice B.

__

Additional comment

"Unlikely" comes in various degrees. When we want to compare the probability of an event to the probability it will occur by chance, we often use a threshold less than 5% (0.05) or 1% (0.01) depending on how certain we want to be.

According to this rule, we cannot really say that an event with probability 30% (0.30) is "unlikely". We know only that the question is more likely to be false than it is to be true.

If we were to apply this judgment to all questions on the quiz, we would mark all questions "false". We could expect a quiz score of 70%.

<95141404393>