Max is looking at a table that compares the four seasons of the year and when people like to travel. She is trying to find P(spring or likes travel) . Based on the following equation, what value represents the intersection of spring and likes travel from the table? 13/100+77/100−?/100=81/100

Answer 1

To find the value that represents the intersection of "spring" and "likes travel," we can start by setting up the equation provided:

\[ P(\text{spring}) + P(\text{likes travel}) - P(\text{spring and likes travel}) = P(\text{spring or likes travel}) \]

From the equation, we have:

\[ \frac{13}{100} + \frac{77}{100} - P(\text{spring and likes travel}) = \frac{81}{100} \]

Now, we can combine the probabilities on the left side:

\[ \frac{90}{100} - P(\text{spring and likes travel}) = \frac{81}{100} \]

Next, we isolate \( P(\text{spring and likes travel}) \):

\[ P(\text{spring and likes travel}) = \frac{90}{100} - \frac{81}{100} \]

Calculating the difference:

\[ P(\text{spring and likes travel}) = \frac{9}{100} \]

Thus, the value that represents the intersection of "spring" and "likes travel" is:

\[ \frac{9}{100} \]