MATHS 5 Marks Questions

The table given below shows the ages of 75 teachers in a school.

Age (in years)	18 - 29	30 - 39	40 - 49	50 - 59
Number of teachers	3	27	37	8

A teacher from this school is chosen at random. What is the probability that the selected teacher is:

1. 40 or more than 40 years old?
2. Of an age lying between 30 - 39 years (including both)?
3. 18 years or more and 49 years or less?
4. 18 years or more old?
5. Above 60 years of age?

Note: Here 18 - 29 means 18 or more but less than or equal to 29.

Following are the ages (in years) of 360 patients, getting medical treatment in a hospital:

Age (in years)	10 - 20	20 - 30	30 - 40	40 - 50	50 - 60	60 - 70
Number of patients	90	50	60	80	50	30

One of the patients is selected at random.
What is the probability that his age is:

1. 30 years or more but less than 40 years?
2. 50 years or more but less than 70 years?
3. 10 years or more but less than 40 years?
4. 10 years or more?
5. Less than 10 years?

An organisation selected 2400 families at random and surveyed them to determine a relationship between the income level and the number of vehicles in a family. The information gathered is listed in the table below:

Monthly income(in ₹)	Number of vehicles per family
	0	1	2	3 or more
Less than ₹ 25000	10	160	25	0
₹ 25000 - ₹ 30000	0	305	27	2
₹ 30000 - ₹ 35000	1	535	29	1
₹ 35000 - ₹ 40000	2	469	59	25
₹ 40000 or more	1	579	82	88

Suppose a family is chosen at random. Find the probability that the family chosen is:

1. Earning ₹ 25000 - ₹ 30000 per month and owning exactly 2 vehicles.
2. Earning ₹ 40000 or more per month and owning exactly 1 vehicle.
3. Earning less than ₹ 25000 per month and not owning any vehicle.
4. Earning ₹ 35000 - ₹ 40000 per month and owning 2 or more vehicles.
5. Owning not more than 1 vehicle.