Question

Q1. For travelling, different mode of transport used by 1500 peoples are as follows:
Mode of Transport
Cycle
Scooter
No. of Peoples
250
400
Car 270
Bus 220
Train 260
No mode of transport 100
Find the probability of number of people:
Used car and scooter only?
() Used only cycle?
(i) Used at least one kind of mode of transport?

Answer 1

SOLUTION

GIVEN

For travelling, different mode of transport used by 1500 peoples are as follows:

Mode of Transport :: No. of Peoples

Cycle : 250

Scooter : 400

Car : 270

Bus : 220

Train : 260

No mode of transport : 100

TO DETERMINE

The probability of number of people

(i) Used car and scooter only

(ii) Used only cycle

(iii) Used at least one kind of mode of transport

EVALUATION

Here it is given that For travelling, different mode of transport used by 1500 peoples

So total number of peoples = 1500

So total number of possible outcomes = 1500

(i) Let A be the event that people use car and scooter only

Then the total number of possible outcomes for the event A = 400 + 270 = 670

So the required probability

$= \sf{P(A)}$

$\displaystyle \sf{ = \frac{670}{1500} }$

$\displaystyle \sf{ = \frac{67}{150} }$

(ii) Let B be the event that people use cycle only

So the total number of possible outcomes for the event B = 250

So the required probability

= P(B)

$\displaystyle \sf{ = \frac{250}{1500} }$

$\displaystyle \sf{ = \frac{1}{6} }$

(iii) Let D be the event that people use at least one kind of mode of transport

So the total number of possible outcomes for the event D = 1500 - 100 = 1400

So the required probability

= P(D)

$\displaystyle \sf{ = \frac{1400}{1500} }$

$\displaystyle \sf{ = \frac{14}{15} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Is the probability of winning a game is 0.07 what is the probability of losing it

https://brainly.in/question/15921335

2. the probality that the root of the equation x2+2nx,+4n+5÷n=0are not real numbers when nEN such that n less than equal to

https://brainly.in/question/20849210

3. If E is any event of a random experiment then the probability of the event E belongs to

https://brainly.in/question/28873831

Answer 2

$\red{\bigstar}{\large{\sf{\bold{\underline{Correct \; question}}}}}$

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?

${\large{\sf{\bold{\underline{Given \; that}}}}} \red{\bigstar}$

~ 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

${\large{\sf{\bold{\underline{To \; find}}}}} \red{\bigstar}$

~ Find probability of number of people –

➨ Used car and scooter only ?

➨ Used only cycle?

➨ Used at least one kind of mode of transport?

${\large{\sf{\bold{\underline{Solution}}}}} \red{\bigstar}$

~ Probability of number of people –

➨ Used car and scooter only = ${\bold{\sf{\dfrac{67}{150}}}}$

➨ Used only cycle = ${\bold{\sf{\dfrac{1}{6}}}}$

➨ Used at least one kind of mode of transport = ${\bold{\sf{\dfrac{14}{15}}}}$

${\large{\sf{\bold{\underline{Using \; concept}}}}} \red{\bigstar}$

Formula to find probability.

${\large{\sf{\bold{\underline{Using \; formula}}}}} \red{\bigstar}$

${\boxed{\bold{\sf{Probability = \dfrac{Number \: of \: outcomes \: that \: make \: an \: event}{Total \: number \: of \: outcomes \: of \: the \: experiment}}}}}$

${\large{\sf{\bold{\underline{Full \; Solution}}}}} \red{\bigstar}$

$\rule{200}{1}$

~ 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

➥ ${\bold{\sf{Probability = \dfrac{Number \: of \: outcomes \: that \: make \: an \: event}{Total \: number \: of \: outcomes \: of \: the \: experiment}}}}$

➥ ${\bold{\sf{Probability = \dfrac{670}{1500}}}}$

➥ ${\bold{\sf{Probability = \dfrac{67}{150}}}}$

${\pink{\frak{Henceforth, 67/150 \: is \: the \: answer \: of \: part \: A}}}$

$\rule{200}{1}$

~ 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

➥ ${\bold{\sf{Probability = \dfrac{Number \: of \: outcomes \: that \: make \: an \: event}{Total \: number \: of \: outcomes \: of \: the \: experiment}}}}$

➥ ${\bold{\sf{Probability = \dfrac{250}{1500}}}}$

➥ ${\bold{\sf{Probability = \dfrac{25}{150}}}}$

➥ ${\bold{\sf{Probability = \dfrac{5}{30}}}}$

➥ ${\bold{\sf{Probability = \dfrac{1}{6}}}}$

${\pink{\frak{Henceforth, 1/6 \: is \: the \: answer \: of \: part \: B}}}$

$\rule{200}{1}$

~ 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

➥ ${\bold{\sf{Probability = \dfrac{Number \: of \: outcomes \: that \: make \: an \: event}{Total \: number \: of \: outcomes \: of \: the \: experiment}}}}$

➥ ${\bold{\sf{Probability = \dfrac{1400}{1500}}}}$

➥ ${\bold{\sf{Probability = \dfrac{14}{15}}}}$

${\pink{\frak{Henceforth, 14/15 \: is \: the \: answer \: of \: part \: C}}}$

$\rule{200}{1}$