Questions: In the random experiment, write out an equally likely sample space, and then write the indicated events in set notation. (6 people live in a dorm suite. Two are to be selected to go to the campus café to pick up a pizza. Of course, no one wants to go, so the six names Carson, Kyra, Lakesha, Janell, Twyla, and Nicole) are placed in a hat. After the hat is shaken, two names are selected. Twyla is selected. The two names selected have the same number of letters. Write the sample space using the first letters of the people's names. Choose the correct answer. A. C K, C L, C J, C T, C N, K L, K J, K T, K N, L J, L T, L N, J T, J N, T N B. C, K, L, J, T, N C. C K, L J, T N D. C T, K T, L T, J T, T N

In the random experiment, write out an equally likely sample space, and then write the indicated events in set notation. (6 people live in a dorm suite. Two are to be selected to go to the campus café to pick up a pizza. Of course, no one wants to go, so the six names Carson, Kyra, Lakesha, Janell, Twyla, and Nicole) are placed in a hat. After the hat is shaken, two names are selected. Twyla is selected. The two names selected have the same number of letters. Write the sample space using the first letters of the people's names. Choose the correct answer. A. C K, C L, C J, C T, C N, K L, K J, K T, K N, L J, L T, L N, J T, J N, T N B. C, K, L, J, T, N C. C K, L J, T N D. C T, K T, L T, J T, T N
Transcript text: the random experiment, write out an equally likely sample space, and then write the indicated events in set notation. ( people live in a dorm suite. Two are-to be selected to go to the campus café to pick up a pizza. Of course, no one wants to go, so the six names arson, Kyra, Lakesha, Janell, Twyla, and Nicole) are placed in a hat. After the hat is shaken, two names are selected. Twyla is selected. ) The two names selected have the same number of letters. /rite the sample space using the first letters of the people's names. Choose the correct answer. A. \{C\&K, C\&L, C\&J, C\&T, C\&N, K\&L, K\&J, K\&T, K\&N, L\&J, L\&T, L\&N, J\&TJ\&N, T\&N\} B. $\{C, K, L, J, T, N\}$ C. $\{C \& K, L \& J, T \& N\}$ D. $\{C \& T, K \& T, L \& T, J \& T, T \& N\}$
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Solution

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Solution Steps

Step 1: Identify the individuals and their initials

The individuals involved are:

  • Arson (A)
  • Kyra (K)
  • Lakesha (L)
  • Janell (J)
  • Twyla (T)
  • Nicole (N)
Step 2: Write out the equally likely sample space

The sample space consists of all possible pairs of two names selected from the six individuals. Using the first letters of their names, the sample space is: \[ \{A\&K, A\&L, A\&J, A\&T, A\&N, K\&L, K\&J, K\&T, K\&N, L\&J, L\&T, L\&N, J\&T, J\&N, T\&N\} \]

Step 3: Identify the correct sample space from the options

The correct sample space is: \[ \{A\&K, A\&L, A\&J, A\&T, A\&N, K\&L, K\&J, K\&T, K\&N, L\&J, L\&T, L\&N, J\&T, J\&N, T\&N\} \] This corresponds to option A, but with the correct initials (A instead of C).

Final Answer

The correct answer is A.

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