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 results of the survey.

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Observe the pie

Question

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 results of the survey.

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Observe the pie chart and answer the following questions:
(i) If one person is selected at random, find the probability that he/she travelled by bus or ship.
(ii) Which is most favourite mode of transport and how many people used it?
(iii) (a) A person is selected at random. If the probability that he did not use train is $\frac{4}{5}$, find the number of people who used train.

**OR**

(iii) (b) The probability that randomly selected person used aeroplane is $\frac{7}{60}$. Find the revenue collected by air company at the rate of ₹$5{,}000$ per person.

Accepted Answer

Step 1: (i) $P(	ext{bus or ship}) = \frac{36 + 33}{360} = \frac{69}{360} = \frac{23}{120}$
Step 2: (ii) Car is the most favourite mode. Number of people who used car $= \frac{177}{360} 	imes 120 = 59$
Step 3: (iii)(a) $P(	ext{train}) = 1 - \frac{4}{5} = \frac{1}{5}$
Step 4: Number of people who used train $= \frac{120}{5} = 24$

Question

Solution