Question

The owner of a sushi restaurant looked over some recent orders. He noted how many yellowtail and salmon rolls had been ordered.
Not spicy Spicy
Yellowtail 2 2
Salmon 3 4
What is the probability that a randomly selected sushi roll contains yellowtail and is not spicy?
Simplify any fractions.

Answer 1

To find the probability that a randomly selected sushi roll is yellowtail and not spicy, we need to follow these steps:

1. **Determine the total number of sushi rolls.**

From the table provided:

- Yellowtail rolls (not spicy) = 2
- Yellowtail rolls (spicy) = 2
- Salmon rolls (not spicy) = 3
- Salmon rolls (spicy) = 4

Now, let's calculate the total:

\[
\text{Total rolls} = (2 + 2) + (3 + 4) = 4 + 7 = 11
\]

2. **Identify the number of rolls that contain yellowtail and are not spicy.**

From the table, the number of yellowtail rolls that are not spicy is \(2\).

3. **Calculate the probability.**

The probability \(P\) that a randomly selected sushi roll is yellowtail and not spicy is given by the formula:

\[
P(\text{yellowtail and not spicy}) = \frac{\text{Number of yellowtail and not spicy rolls}}{\text{Total number of rolls}} = \frac{2}{11}
\]

Thus, the probability that a randomly selected sushi roll is yellowtail and not spicy is \( \frac{2}{11} \).