a car park, there are 125 cars, 30
otorbikes, 2q lorries and 20 buses.
One of the vehicles leaves the car
park at random.
40
(1) Given that the probability that
the vehicle is a motorbike is –
and probability that the vehicle is
a bus is -, form an equation
in p and q.
(ii) Find the values of p and q.
Answers
Given : in a car park 125 cars , 3p motorbikes , 2q lorries and 20 buses. One of vehicle leave the park at random . probability that the vehicle is a motorbike = 3/40 & bus = 1/10
To find : the values of p and q.
Solution:
Cars - 125
Motorbikes - 3p
lorries - 2q
Buses - 20
Total = 125 + 3p + 2q + 20
= 145 + 3p + 2q
Probability of motorbike = 3p/( 145 + 3p + 2q) = 3/40
=> 40 p = 145 + 3p + 2q
=> 37p - 145 = 2q
=> 37p - 2q = 145
Probability of bus = 20/( 145 + 3p + 2q) = 1/10
=> 200 = 145 + 3p + 2q
=> 55 - 3p = 2q
=> 3p + 2q = 55
Adding both
40p = 200
=> p = 5
=> 3 * 5 + 2q = 55
=>2q = 40
=> q = 20
37p - 2q = 145 ,
3p + 2q = 55
p = 5 , q = 20
Learn more:
In a Family of 3 children find probability of having at least one boy ...
https://brainly.in/question/7700718
If you flip three fair coins, what is the probability that you'll get all ...
https://brainly.in/question/7633345
if two dice are tossed, find the probability of throwing a total of 10 or ...
https://brainly.in/question/7714685
Step-by-step explanation:
as we know buses are 20 thus probably it's given 1/10 =20/x that is total no. of vehicals thus it will be 200 vehicals
