Question

In a particular city, there were 152 cloudy days last year and it rained on 95 of those days. What is the relative frequency of no rain on a cloudy day in that city?

• A. $\frac{16}{19}$
• B. $\frac{95}{152}$
• C. $\frac{5}{8}$
• D. $\frac{3}{8}$

Answer 1

The correct option is D $\frac{3}{8}$

Relative frequency of rain on a cloudy day $=\frac{95}{152}=\frac{5}{8}$

Relative frequency of no rain on a cloudy day $=1-\frac{5}{8}=\frac{3}{8}$

Alternatively, the number of days where there was no rain inspite of cloudy weather = $152-95=57$

Relative frequency of no rain on a cloudy day $=\frac{57}{152}=\frac{3}{8}$

Therefore, experimental probability of no rain on the next cloudy day $=\frac{3}{8}$