fou travelling, different mode of transport used by 1500 people are as follows: find the probability of number of people: Mode of Transport No. of People cycle Scooter Car Bus Train 250 400 270 220 260 No mode of transbord 100 is used car & scooler his used only cycle? only 2 (li) used Leart one kind of mode of transportº tiv) which value would you learn from above data ?
Answers
Step-by-step explanation:
For travelling, different mode of transport used by 1500 peoples are as follows:
Mode of transports and number of people's –
{\bullet}∙ Cycle = 250
{\bullet}∙ Scooter = 400
{\bullet}∙ Car = 270
{\bullet}∙ Bus = 220
{\bullet}∙ Train = 260
{\bullet}∙ No mode of transport = 100
Find the probability of number of people –
{\bullet}∙ Used car and scooter only ?
{\bullet}∙ Used only cycle?
{\bullet}∙ Used at least one kind of mode of transport?
{\large{\sf{\bold{\underline{Given \; that}}}}} \red{\bigstar}
Giventhat
★
~ Total number of people's = 1500 that's why it is also cleared that the probability or possible outcomes be 1500.
~ Mode of transports and number of people's –
➨ Cycle = 250
➨ Scooter = 400
➨ Car = 270
➨ Bus = 220
➨ Train = 260
➨ No mode of transport = 100
{\large{\sf{\bold{\underline{To \; find}}}}} \red{\bigstar}
Tofind
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~ Find probability of number of people –
➨ Used car and scooter only ?
➨ Used only cycle?
➨ Used at least one kind of mode of transport?
{\large{\sf{\bold{\underline{Solution}}}}} \red{\bigstar}
Solution
★
~ Probability of number of people –
➨ Used car and scooter only = {\bold{\sf{\dfrac{67}{150}}}}
150
67
➨ Used only cycle = {\bold{\sf{\dfrac{1}{6}}}}
6
1
➨ Used at least one kind of mode of transport = {\bold{\sf{\dfrac{14}{15}}}}
15
14
{\large{\sf{\bold{\underline{Using \; concept}}}}} \red{\bigstar}
Usingconcept
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Formula to find probability.
{\large{\sf{\bold{\underline{Using \; formula}}}}} \red{\bigstar}
Usingformula
★
{\boxed{\bold{\sf{Probability = \dfrac{Number \: of \: outcomes \: that \: make \: an \: event}{Total \: number \: of \: outcomes \: of \: the \: experiment}}}}}
Probability=
Totalnumberofoutcomesoftheexperiment
Numberofoutcomesthatmakeanevent
{\large{\sf{\bold{\underline{Full \; Solution}}}}} \red{\bigstar}
FullSolution
★
\rule{200}{1}
~ Let us find the probability of that person's that use only car and scooter.
➞ Firstly let us find the number of outcomes that make an event means let's add the items.
➥ Probability = 270 + 400
➥ Probability = 670
➞ Now let's find the probability
➥ {\bold{\sf{Probability = \dfrac{Number \: of \: outcomes \: that \: make \: an \: event}{Total \: number \: of \: outcomes \: of \: the \: experiment}}}}Probability=
Totalnumberofoutcomesoftheexperiment
Numberofoutcomesthatmakeanevent
➥ {\bold{\sf{Probability = \dfrac{670}{1500}}}}Probability=
1500
670
➥ {\bold{\sf{Probability = \dfrac{67}{150}}}}Probability=
150
67
{\pink{\frak{Henceforth, 67/150 \: is \: the \: answer \: of \: part \: A}}}Henceforth,67/150istheanswerofpartA
\rule{200}{1}
~ Let us find the probability of that person's that use Cycle only.
➞ Firstly let us find the number of outcomes that make an event
➥ Probability = 250
➞ Now let's find the probability
➥ {\bold{\sf{Probability = \dfrac{Number \: of \: outcomes \: that \: make \: an \: event}{Total \: number \: of \: outcomes \: of \: the \: experiment}}}}Probability=
Totalnumberofoutcomesoftheexperiment
Numberofoutcomesthatmakeanevent
➥ {\bold{\sf{Probability = \dfrac{250}{1500}}}}Probability=
1500
250
➥ {\bold{\sf{Probability = \dfrac{25}{150}}}}Probability=
150
25
➥ {\bold{\sf{Probability = \dfrac{5}{30}}}}Probability=
30
5
➥ {\bold{\sf{Probability = \dfrac{1}{6}}}}Probability=
6
1
{\pink{\frak{Henceforth, 1/6 \: is \: the \: answer \: of \: part \: B}}}Henceforth,1/6istheanswerofpartB
\rule{200}{1}
~ Let us find the probability of that person's that use atleast one kind of transport.
➞ Here, we have to subtract
➥ Probability = 1500 - 100
➥ Probability = 1400
➞ Now let's find the probability
➥ {\bold{\sf{Probability = \dfrac{Number \: of \: outcomes \: that \: make \: an \: event}{Total \: number \: of \: outcomes \: of \: the \: experiment}}}}Probability=
Totalnumberofoutcomesoftheexperiment
Numberofoutcomesthatmakeanevent
➥ {\bold{\sf{Probability = \dfrac{1400}{1500}}}}Probability=
1500
1400
➥ {\bold{\sf{Probability = \dfrac{14}{15}}}}Probability=
15
14
