Questions: In a certain instant lottery game, the chances of a win are stated as "1 in 16." Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. The probability is (Round to three decimal places as needed.)

In a certain instant lottery game, the chances of a win are stated as "1 in 16." Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. The probability is (Round to three decimal places as needed.)
Transcript text: In a certain instant lottery game, the chances of a win are stated as "1 in 16 ." Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. The probability is $\square$ (Round to three decimal places as needed.)
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Solution

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Solution Steps

Step 1: Determine Favorable and Total Outcomes

In the lottery game, the number of favorable outcomes (winning) is given as \( 1 \). The total number of possible outcomes is stated as \( 16 \).

Step 2: Calculate the Probability

The probability \( P \) of winning can be calculated using the formula:

\[ P = \frac{\text{favorable outcomes}}{\text{total outcomes}} = \frac{1}{16} \]

Step 3: Convert to Decimal and Round

Calculating the decimal value gives:

\[ P = 0.0625 \]

Rounding this value to three decimal places results in:

\[ P \approx 0.062 \]

Final Answer

The probability of winning is \\(\boxed{0.062}\\).

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