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Question 1 (Multiple Choice Worth 2 points)

The table shows coffee preferences from a survey.
\begin{tabular}{|l|l|l|l|}
\hline Coffee Type & Plain & Sugar & Creamer \\
\hline Regular & 0.27 & 0.19 & 0.32 \\
\hline Decaf & 0.05 & 0.08 & 0.09 \\
\hline
\end{tabular}

If a person is chosen at random in this survey, what is the P(regular or plain)?

A. 0.19
B. 0.27
C. 0.83
D. 0.78


Sagot :

To determine the probability that a person chosen at random prefers either Regular coffee or Plain coffee, we need to consider the given probabilities from the table.

The probability that a person prefers Regular Plain coffee is 0.27.
The probability that a person prefers Decaf Plain coffee is 0.05.

Since we are looking for the probability of either Regular coffee or Plain coffee, we sum these probabilities together:

P(Regular Plain) + P(Decaf Plain).

Calculating this, we get:

0.27 + 0.05 = 0.32.

Therefore, the probability of choosing either Regular coffee or Plain coffee is 0.32.

Given the multiple-choice options:
- 0.19
- 0.27
- 0.83
- 0.78

None of these match our correct probability of 0.32.

However, based on the provided answer above, verifying the number using our method confirms that the probability is indeed 0.32.
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