1.2 What is P(divisor of 7 )? Write your answer as a percentage. $$ \% $$

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UpStudy AI · Accepted Answer

To find $$ P(\text{divisor of } 7) $$, we first need to identify the divisors of 7.

The divisors of 7 are the numbers that can divide 7 without leaving a remainder. Since 7 is a prime number, its only divisors are 1 and 7 itself.

Now, let's calculate the probability $$ P $$ of randomly selecting a divisor of 7 from the set of all integers.

1. The total number of divisors of 7 is 2 (which are 1 and 7).
2. The total number of integers is infinite.

However, if we consider the probability in a finite context, we can express it as:

$$
P(\text{divisor of } 7) = \frac{\text{Number of divisors of } 7}{\text{Total integers considered}}
$$

Since we cannot define a finite total number of integers, we can consider the probability of selecting a divisor from a limited set, such as the integers from 1 to 7.

In this case, the integers from 1 to 7 are: 1, 2, 3, 4, 5, 6, 7 (which is a total of 7 integers).

Thus, the probability can be calculated as:

$$
P(\text{divisor of } 7) = \frac{2}{7}
$$

Now, to express this probability as a percentage:

$$
P(\text{divisor of } 7) \times 100\%
$$

Let's calculate this:
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{2}{7}\times 100$$
- step1: Multiply:
  $$\frac{2\times 100}{7}$$
- step2: Multiply:
  $$\frac{200}{7}$$
The probability $$ P(\text{divisor of } 7) $$ expressed as a percentage is approximately $$ 28.57\% $$.
The probability $$ P(\text{divisor of } 7) $$ is approximately $$ 28.57\% $$.

1.2
What is P(divisor of 7 )?
Write your answer as a percentage.

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