The probability of randomly picking out an autobiography from a bookshelf is .What are the odds in favor of choosing an autobiography?

To solve the problem, we need to clarify the concept of odds and how they relate to probability.

Step 1: Understand the Relationship Between Probability and Odds

The odds in favor of an event can be calculated from the probability of that event occurring. If $P$ is the probability of an event occurring, then the odds in favor of the event are given by:

$\text{Odds in favor} = \frac{P}{1 - P}$

Step 2: Substitute Given Probability

Since the probability of randomly picking out an autobiography is $P$, we substitute this value into the formula for odds.

Step 3: Calculation

Assuming the probability $P$ is known (for example, let’s say $P = 0.3$ as an illustrative example):

$\text{Odds in favor} = \frac{0.3}{1 - 0.3} = \frac{0.3}{0.7} = \frac{3}{7}$

Step 4: Verify and Summarize

The final odds in favor of choosing an autobiography can vary depending on the actual probability you have. If you have a different probability value, substitute that value into the formula to find the corresponding odds.

Final Answer

If the probability $P$ of choosing an autobiography is $0.3$, then the odds in favor of picking an autobiography are $\frac{3}{7}$. Please replace $0.3$ with the specific probability you have to calculate the accurate odds.