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Twenty six out of seventy emails in your inbox are junk emails. What is the experimental probability that the next email is junk?

Question

Twenty six out of seventy emails in your inbox are junk emails. What is the experimental probability that the next email is junk?

Twenty six out of seventy emails in your inbox are junk emails. What is the experimental
probability that the next email is junk?

Solution

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ColetteMaster · Tutor for 5 years

Answer

### $\frac{13}{35}$

Explain

## Step 1: Calculate the Experimental Probability<br />### The experimental probability is the ratio of the number of times an event occurs to the total number of trials. In this case, the event is receiving a junk email, and the total number of trials is the total number of emails. The probability is calculated as $\frac{\text{Number of junk emails}}{\text{Total number of emails}}$.<br /><br />## Step 2: Substitute the Values<br />### Substitute the given values into the formula: $\frac{26}{70}$.<br /><br />## Step 3: Simplify the Fraction<br />### Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. This results in $\frac{13}{35}$.
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