Question

refer to the table, which contains information about 36 jars of salsa available at a particular food pantry. if a jar is randomly selected, determine the probability that the salsa is not brand c.

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$$\begin{array}{lcccc} \\text{brand} & \\text{mild} & \\text{medium} & \\text{hot} & \\text{total} \\\\ \\text{a} & 6 & 1 & 3 & 10 \\\\ \\text{b} & 4 & 2 & 5 & 11 \\\\ \\text{c} & 0 & 7 & 8 & 15 \\\\ \\text{total} & 10 & 10 & 16 & 36 \\end{array}$$

if a jar is randomly selected, the probability that the salsa is not brand c is .
(simplify your answer.)

Explanation:

Identify total outcomes and favorable outcomes

Using the Complementary Events knowledge point

$$
LATEXBLOCK0
$$

Calculate the probability

Using the Complementary Events knowledge point

$$ P(\text{not Brand C}) = \frac{n_{\text{not } C}}{N} = \frac{21}{36} $$

Simplify the fraction

Using the Fraction Simplification knowledge point

$$ \frac{21}{36} = \frac{21 \div 3}{36 \div 3} = \frac{7}{12} $$

Answer:

If a jar is randomly selected, the probability that the salsa is not Brand C is <blank>\(\frac{7}{12}\)</blank>.