Pete asks a group of college students which machine’s juice they prefer.

This table shows their responses:

Age group	SuperJuicer	Blitz-It juicer
Under 19 years old	16	4
19+ years old	17	13

A student from the group is chosen at random.

What is the probability that the student is under 19 and preferred juice
from Blitz-It juicer?

To solve this probability problem, we need to use the data from the table:

\[
\begin{array}{|c|c|c|}
\hline
\text{Age group} & \text{SuperJuicer} & \text{Blitz-It juicer} \\
\hline
\text{Under 19 years old} & 16 & 4 \\
\text{19+ years old} & 17 & 13 \\
\hline
\end{array}
\]

From this, we observe that the number of students under 19 who preferred the Blitz-It juicer is \( 4 \).

### Total number of students in the group:
- Under 19 years old: \( 16 + 4 = 20 \)
- 19+ years old: \( 17 + 13 = 30 \)

Thus, the total number of students is:
\[
20 + 30 = 50
\]

### Probability that a randomly chosen student is under 19 and prefers Blitz-It juicer:
The favorable outcome is the 4 students who are under 19 and preferred the Blitz-It juicer.

So, the probability is:
\[
P(\text{Under 19 and prefers Blitz-It}) = \frac{4}{50} = \frac{2}{25}
\]

Thus, the probability is \( \frac{2}{25} \).

Do you want further details or have any questions?

Here are some related questions to explore further:

1. What is the probability that a randomly chosen student prefers the Blitz-It juicer, regardless of age?
2. What is the probability that a randomly chosen student is under 19 years old?
3. What is the probability that a randomly chosen student is 19+ and prefers SuperJuicer?
4. If the student is known to prefer SuperJuicer, what is the probability that they are under 19?
5. What is the probability that a randomly chosen student is either under 19 or prefers Blitz-It juicer?

**Tip:** Always ensure that the total number of possibilities (students) is correctly calculated to avoid errors in probability problems.

Pete asks a group of college students which machine’s juice they prefer. This table shows their responses: Age group | SuperJuicer | Blitz-It juicer Under 19 years old | 16 | 4 19+ years old | 17 | 13 A student from the group is chosen at random. What is the probability that the student is under 19 and preferred juice from Blitz-It juicer?

This problem involves calculating the probability that a randomly chosen student is under 19 and prefers juice from the Blitz-It juicer. The table provides age groups and preferences. Learn how to use the probability formula to solve this step by step.

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