Question

experimental probability - write the probability as a percent (round to the nearest whole number)

1. meteorologist susie sunshine is trying to determine todays weather. of the 192 days that had similar weather conditions to today, 57 of them had rain. based on this data, what is the probability of rain today?

Explanation:

Step1: Calculate the experimental probability

The formula for experimental probability \(P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (days with rain) is \(n = 57\), and the total number of outcomes (days with similar weather) is \(N=192\). So, \(P=\frac{57}{192}\).

Step2: Convert the fraction to a decimal

\(\frac{57}{192}=57\div192 = 0.296875\).

Step3: Convert the decimal to a percentage

To convert a decimal to a percentage, multiply by \(100\). So, \(0.296875\times100 = 29.6875\%\).

Step4: Round to the nearest whole number

Rounding \(29.6875\%\) to the nearest whole number. Since the decimal part \(0.6875\gt0.5\), we round up.

Answer:

\(30\%\)