Question

nt chapter 4 - 1 part 1 question 6, 4.1.13 hw score: 26.67%, 4 of 15 points points: 0 of 1 save for a certain true or false test question, the odds of a random guess being correct are given as 50 to 50. express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. the probability is \\(\square\\) (round to two decimal places as needed.)

Explanation:

Step1: Recall the formula for probability from odds

The formula to convert odds (in the form of "odds in favor = \(a:b\)") to probability is \(P=\frac{a}{a + b}\). Here, the odds of being correct are \(50:50\), so \(a = 50\) and \(b=50\).

Step2: Calculate the probability

Substitute \(a = 50\) and \(b = 50\) into the formula: \(P=\frac{50}{50+50}=\frac{50}{100}=0.50\).

Answer:

\(0.50\)