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Based on the data in this two-way table, if a flower is picked at random, what is the probability of getting a yellow flower?

\begin{tabular}{|c|c|c|c|c|}
\hline Type of Flower/Color & Red & Pink & Yellow & Total \\
\hline Rose & 40 & 20 & 45 & 105 \\
\hline Hibiscus & 80 & 40 & 90 & 210 \\
\hline Total & 120 & 60 & 135 & 315 \\
\hline
\end{tabular}

A. 0.190
B. 0.393
C. 0.381
D. 0.429

Sagot :

To determine the probability of picking a yellow flower at random from the given data, follow these steps:

1. Identify the number of yellow flowers:
According to the table, the total number of yellow flowers is 135.

2. Identify the total number of all flowers:
The table indicates that the total number of all flowers is 315.

3. Calculate the probability of picking a yellow flower:
The probability is given by the ratio of the number of yellow flowers to the total number of flowers:

[tex]\[ \text{Probability of yellow flower} = \frac{\text{Number of yellow flowers}}{\text{Total number of flowers}} = \frac{135}{315} \][/tex]

4. Convert the fraction to a decimal:
Performing the division [tex]\( \frac{135}{315} \)[/tex] gives us approximately 0.429.

Therefore, the probability of picking a yellow flower at random is [tex]\( 0.429 \)[/tex].

The correct answer is:
D. [tex]\( \quad 0.429 \)[/tex]