Questions: Fill in the blank with an appropriate word, phrase, or symbol(s). If the probability that an event occurs is 0.6, the probability that the event does not occur is The probability the event does not occur is (Type an integer or a decimal.)

Fill in the blank with an appropriate word, phrase, or symbol(s).
If the probability that an event occurs is 0.6, the probability that the event does not occur is

The probability the event does not occur is
(Type an integer or a decimal.)

Transcript text: Fill in the blank with an appropriate word, phrase, or symbol(s). If the probability that an event occurs is 0.6 , the probability that the event does not occur is $\qquad$ The probability the event does not occur is (Type an integer or a decimal.) $\square$

Solution

Solution Steps

To find the probability that an event does not occur, you subtract the probability of the event occurring from 1. This is because the total probability of all possible outcomes of an event is always 1.

Step 1: Determine the Probability of the Event Occurring

Given that the probability of the event occurring is $ P(A) = 0.6 $.

Step 2: Calculate the Probability of the Event Not Occurring

To find the probability that the event does not occur, we use the formula: \[ P(A') = 1 - P(A) \] Substituting the known value: \[ P(A') = 1 - 0.6 = 0.4 \]