Question

the record of a weather station shows that out of the past 250 consecutive days its weather forecasts were correct 175 times .what is the probability that on a given day it was correct?

Answer 1

175/250
=7/10 ...........m

Answer 2

Answer:

$\huge\red{\bold{Rᴇǫᴜɪʀᴇᴅ\:Qᴜᴇsᴛɪᴏɴ}}$

❇The record of a weather station shows that out of the past 250 consecutive days, its weather forecasts were correct 175 times.Find Probability..

$\huge\red{\bold{Aɴsᴡᴇʀ}}$

$\large\textbf\purple{Gɪᴠᴇɴ}:$

$❇ \ \bold{Tᴏᴛᴀʟ \: Pᴏssɪʙʟᴇ \: Oᴜᴛᴄᴏᴍᴇs:→ 250}$

$❇ \: \bold{Nᴜᴍʙᴇʀ \: Oғ \: Fᴀᴠᴏᴜʀᴀʙʟᴇ \: Oᴜᴛᴄᴏᴍᴇs:→175}$

$\large\textbf\purple{Tᴏ \: Fɪɴᴅ}:$

$❇ \: \bold{Pʀᴏʙᴀʙɪʟɪᴛʏ}$

$\large\textbf\pink{Sᴏʟᴜᴛɪᴏɴ}:$

$❇ \: {\bold{Fᴏʀᴍᴜʟᴀ}}$

$\begin{gathered}❇ \: \text{Rᴇǫᴜɪʀᴇᴅ Pʀᴏʙᴀʙɪʟɪᴛʏ}:→\frac{\text{Tᴏᴛᴀʟ \: Pᴏssɪʙʟᴇ \: Oᴜᴛᴄᴏᴍᴇs}}{\text{Nᴜᴍʙᴇʀ \: Oғ \: Fᴀᴠᴏᴜʀᴀʙʟᴇ \: Oᴜᴛᴄᴏᴍᴇs}} \\ \end{gathered}$

$\text\pink{Sᴏ,}$

$\begin{gathered}\pink{Pʀᴏʙᴀʙɪʟɪᴛʏ}:→\frac{\orange{175}}{\orange{200}} \\ \end{gathered}$

$\begin{gathered}\orange{Pʀᴏʙᴀʙɪʟɪᴛʏ}:→\frac{\text{7}}{{10}} \\ \end{gathered}$