Question

compute the probability of event e if the odds in favor of e are 15 to 11. p(e)=\square (type an integer or a fraction.)

Explanation:

Step1: Recall the formula for probability from odds

The formula to find the probability \( P(E) \) when the odds in favor of \( E \) are \( a \) to \( b \) is \( P(E)=\frac{a}{a + b} \). Here, \( a = 15 \) and \( b = 11 \).

Step2: Substitute the values into the formula

Substitute \( a = 15 \) and \( b = 11 \) into the formula: \( P(E)=\frac{15}{15 + 11} \).

Step3: Simplify the denominator

Calculate the denominator: \( 15+11 = 26 \). So, \( P(E)=\frac{15}{26} \).

Answer:

\(\frac{15}{26}\)