Q) In a survey on holidays, 120 people were asked to state which type of transport they used on their last holiday. The following pie chart shows the result of the survey.

Observe the pie chart and answer the following questions:
1 (i) If one person is selected at random, find the probability that he/she travelled by bus or ship.
1 (ii) 1 Which is most favourite mode of transport and how many people used it?
2 (iii) (a) A person is selected at random. If the probability that he did not use train is 4/5, find the number of people who used train.
OR (iii) (b) The probability that randomly selected person used aeroplane is 7/60. Find the revenue collected by air company at the rate of ₹5,000 per person. ​e lost card is a black card.

Ans: We have total 120 participants in the survey.

This becomes the total base for calculating the probability.

(i) Probability for traveling by bus/ ship:

From the figure, we have angle made by people traveling by bus = 36

and the angle made by people traveling by ship = 33

Hence, angle made by people travelingby bus / ship = 36 + 33 = 69

Since 120 people are spread out in the circle and covering 360

∴ number of people traveling by either bus / ship = x 120 = = 23

∴ the probability of people traveling by bus / ship

=  =

Therefore, the probability of people traveling by bus / ship is .

(ii) Number of people using most favorite transport:

From the figure, we can see that car is the most favourite mode of transport

Angle made by people using car = 177

∴ number of people using car = x 120 = = 59

Therefore Car is the most favorite mode of transport and 59 people are used car.

(iii) (a) People using the train:

We know that, Probability of an event occurring + probability of event NOT occurring = 1

or we can say that, Probability of an event occurring = 1 –  probability of event NOT occurring

∴ Probability of using the train = 1 – probability of NOT using the train

∵ Probability of not using the train =     (given)

∴ probability of using the train = 1 –

Since total number of people = 120

∴ number of people using train = 120 x = 24

Therefore, 24 people used train.

(iii)(b) Revenue collected by Airline:

Probability of using the aeroplane = (given)

∵ total number of people = 120

∴ number of people using aeroplane = 120 x = 14

Revenue collected from one person = Rs. 5,000

∴ Revenue collected from 14 persons = Rs. 5,000  x 14 = Rs. 70,000

Therefore, revenue collected by air company is Rs. 70,000.

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