Question
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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