Math / Data & Statistics

QuestionExpress the indicated degree of likelihood as a probability value between 0 and 1. When using a computer to randomly generate the last digit of a phone number to be called for a survey, there is 1 chance in 10 that the last digit is zero.
The probability is $\square$ . (Type an integer or a decimal. Do not round.) p Ask my instructor Clear all

Studdy Solution

STEP 1

1. The probability of an event is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.
2. There are 10 possible digits (0 through 9) for the last digit of a phone number.

STEP 2

1. Identify the number of favorable outcomes.
2. Identify the total number of possible outcomes.
3. Calculate the probability.

STEP 3

Identify the number of favorable outcomes. Since there is 1 chance in 10 that the last digit is zero, the number of favorable outcomes is:
$1$

STEP 4

Identify the total number of possible outcomes. The last digit can be any digit from 0 to 9, so there are:
$10$
possible outcomes.

STEP 5

Calculate the probability using the formula:
$\text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}}$
Substitute the values:
$\text{Probability} = \frac{1}{10}$
The probability is:
$\boxed{0.1}$

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