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.)

To compute the probability of event \( E \), we first need to determine the total number of outcomes in the sample space \( S \) and the number of favorable outcomes in the event \( E \). The sample space \( S \) has 10 outcomes: \( \{1,2,3,4,5,6,7,8,9,10\} \). The event \( E \) includes the outcomes \( \{4,5,6\} \), which is 3 favorable outcomes. The probability \( P(E) \) is calculated using the formula: \[ P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{10} = 0.3 \] So, \[ P(E) = 0.3 \]