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. 

Observe the pie chart and answer the following questions:

1. If one person is selected at random, find the probability that he/she travelled by bus or ship.
2. Which is most favourite mode of transport and how many people used it?
3. 
   
   1. 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
   2. 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.

Answer 1

P(A) = `"No. of favourable outcomes"/"Total no. of outcomes"`

(i) Given 

Bus + Ship

= 33 + 36

= 69°

We know Total = 360°

(Bus or Ship) = `(69°)/360 xx 120`

Total person on Bus or Ship = 23 people

∴ P(A) = `23/120`

A = he/she travelled by bus or ship

(ii) Car is most favourite mode of transport 

⇒ No. of people = `177/360 xx 120`

= 59 people

(iii) (a) Probability that he did not use train is `4/5`

Probability that people use train is `1/5`      ...[∵ P(A) + P(`barA`)) = 1]

No. of people who used train `1/5 xx 120`

= 24 people

                     OR

(b) Given

probability that randomly selected person used an airplane is `7/60`

Total No. of people = `7/60 xx 120`

= 14 people

Revenue collected by air is = 14 × 5000

= ₹ 70,000