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A teacher assigns a score from 1 to 4 to each student project. The table below shows the probability distribution of the scores for a randomly selected student. Which score is most likely?

\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{Probability Distribution} \\
\hline Score: [tex]$X$[/tex] & Probability: [tex]$P(X)$[/tex] \\
\hline 1 & 0.06 \\
\hline 2 & 0.20 \\
\hline 3 & 0.48 \\
\hline 4 & 0.26 \\
\hline
\end{tabular}

A. 1
B. 2
C. 3
D. 4



Answer :

GinnyAnswer
To determine which score is most likely, we need to identify the score with the highest probability in the given probability distribution table.

Here's a step-by-step approach:

1. List the Scores and their Probabilities:
- Score 1: Probability 0.06
- Score 2: Probability 0.20
- Score 3: Probability 0.48
- Score 4: Probability 0.26

2. Compare the Probabilities:
- 0.06 (for Score 1)
- 0.20 (for Score 2)
- 0.48 (for Score 3)
- 0.26 (for Score 4)

3. Identify the Maximum Probability:
- Among the given probabilities, 0.48 is the highest.

4. Match the Maximum Probability to the Corresponding Score:
- The highest probability, 0.48, corresponds to Score 3.

Thus, the score that is most likely, based on the highest probability, is Score 3.

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