Question

The record of a weather station shows that out of the past 250 consecutive days, its

weather forecasts were correct 175 times. ​

Answer 1

$\: \: \: \: \:{\large{\rm{\underline{Correct \: question}}}}$

The record of a weather station shows that out of the past 250 consecutive days, it's weather forecasts were correct 175 times. Find probability.

$\: \: \: \: \:{\large{\rm{\underline{Given \; that}}}}$

✴ The record of a weather station shows that out of the past 250 consecutive days.

[ Total = 250 days ]

✴ It's weather forecasts were correct 175 times.

$\: \: \: \: \:{\large{\rm{\underline{To \; find}}}}$

✴ Probability

$\: \: \: \: \:{\large{\rm{\underline{Solution}}}}$

✴ Probability = ${\sf{\dfrac{7}{10}}}$

$\: \: \: \: \:{\large{\rm{\underline{Using \: concept}}}}$

✴ Formula to find probability

$\: \: \: \: \:{\large{\rm{\underline{Using \: formula}}}}$

${\sf{:\implies Probability \: = \: \dfrac{No. \: of \: outcomes \: that \: make \: event}{Total \: number \: of \: experiment}}}$

$\: \: \: \: \:{\large{\rm{\underline{Full \; Solution}}}}$

${\sf{:\rightarrow Probability \: = \: \dfrac{No. \: of \: outcomes \: that \: make \: event}{Total \: number \: of \: experiment}}}$

~ Here,

↪ Number of outcomes that make event are 175.

↪ Total number of experiment are 250

${\sf{:\rightarrow Probability \: = \: \dfrac{175}{250}}}$

${\sf{:\rightarrow Probability \: = \: \dfrac{7}{10}}}$

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..

$\huge\red{\bold{Aɴsᴡᴇʀ}}:⇝$

$\large\textbf\purple{Gɪᴠᴇɴ}:⇝$

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

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

$\large\textbf\purple{Tᴏ \: Fɪɴᴅ}:⇝$

$❇ \: \bold{Pʀᴏʙᴀʙɪʟɪᴛʏ}$

$\large\textbf\pink{Sᴏʟᴜᴛɪᴏɴ}:⇝$

$❇ \: {\bold{Fᴏʀᴍᴜʟᴀ}}$

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

$\text\pink{Sᴏ,}$

$\text{Pʀᴏʙᴀʙɪʟɪᴛʏ}:→\frac{\text{175}}{\text{200}}$

$\text{Pʀᴏʙᴀʙɪʟɪᴛʏ}:→\frac{\text{7}}{{10}}$

$\text{Pʀᴏʙᴀʙɪʟɪᴛʏ}:→0.7$