Questions: Kenny and Tara are both members of a population, and a simple random sample is being conducted. If the chance of Kenny being selected is 1/29, what is the chance of Tara being selected? A. 1/29 B. 1/2900 C. 1/290 D. 1/29,000

Kenny and Tara are both members of a population, and a simple random sample is being conducted. If the chance of Kenny being selected is 1/29, what is the chance of Tara being selected? A. 1/29 B. 1/2900 C. 1/290 D. 1/29,000
Transcript text: Question 3 of 19 Kenny and Tara are both members of a population, and a simple random sample is being conducted. If the chance of Kenny being selected is $\frac{1}{29}$, what is the chance of Tara being selected? A. $\frac{1}{29}$ B. $\frac{1}{2900}$ C. $\frac{1}{290}$ D. $\frac{1}{29,000}$
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Solution

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Solution Steps

The problem states that a simple random sample is being conducted, which implies that each member of the population has an equal chance of being selected. Since Kenny's chance of being selected is given as \(\frac{1}{29}\), Tara, being another member of the same population, will have the same chance of being selected.

Step 1: Understanding the Problem

We are given that Kenny's chance of being selected in a simple random sample is \(\frac{1}{29}\). Since it is a simple random sample, every member of the population has an equal chance of being selected.

Step 2: Calculating Tara's Chance

Since Tara is also a member of the same population, her chance of being selected is the same as Kenny's. Therefore, Tara's chance of being selected is also \(\frac{1}{29}\).

Step 3: Converting to Decimal

To understand the probability in decimal form, we convert \(\frac{1}{29}\) to a decimal: \[ \frac{1}{29} \approx 0.03448 \]

Final Answer

The chance of Tara being selected is \(\frac{1}{29}\), which corresponds to option A.

\[ \boxed{\frac{1}{29}} \]

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