omework $$ 10(5.1,5.2) $$ Question 22, 5.1.19 HW Score: $$ 44 \%, 22 $$ of 50 points Points: 0 of 1 Let the sample space be $$ S=\{1,2,3,4,5,6,7,8,9,10\} $$. Suppose the outcomes are equally likely. Compute the probability of the event $$ E=\{4,5,6\} $$. $$ P(E)= $$ $$ \square $$ (Type an integer or a decimal. Do not round.)

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Given the sample space $$ S = \{1,2,3,4,5,6,7,8,9,10\} $$ and the event $$ E = \{4,5,6\} $$:

1. The number of outcomes in $$ S $$ is $$ |S| = 10 $$.
2. The number of outcomes in $$ E $$ is $$ |E| = 3 $$.
3. Using the probability formula

$$
   P(E) = \frac{|E|}{|S|}
   $$

4. Substitute the values:

$$
   P(E) = \frac{3}{10}
   $$

5. As a decimal, this probability is $$ 0.3 $$.

Thus, the probability of event $$ E $$ is $$ 0.3 $$.
$$ P(E) = 0.3 $$

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