**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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