Question

the table does the percentage of students in each of three grade levels hula soccer as their favorite sport find the probability rounded to the nearest hundredth that any student selected from all three grades is a junior who listed soccer as their favorite sport

Answer 1

The probability is;

`P(\text{Junior}\cap\text{Soccer)}=0.15`

Step-by-step explanation:

From the given table;

The percentage of students that are juniors is;

`33\text{\%}`

The percentage of the juniors that chose soccer a their favorite sport is;

`45\text{\%}`

So, The probability rounded to the nearest hundredth that any student selected from all three grades is a junior who listed soccer as their favorite sport ​is;

`P(\text{Junior}\cap\text{Soccer)}=P(\text{Junior)}* P(Soccer)`

Substituting the percentages we have;

`\begin{gathered} P(\text{Junior}\cap\text{Soccer)}=33\text{\%}*45\text{\%}=(33)/(100)*(45)/(100) \\ P(\text{Junior}\cap\text{Soccer)}=(1485)/(10000) \\ P(\text{Junior}\cap\text{Soccer)}=0.1485 \\ P(\text{Junior}\cap\text{Soccer)}=0.15 \end{gathered}`

Therefore, the probability is;

`P(\text{Junior}\cap\text{Soccer)}=0.15`