In an ODI match, a wicket keeper drops a catch 6 times out of 30 catches he gets.

Find the probability of the wicketkeeper not dropping a catch.

1500 families with 2 children were selected randomly, and the following data were recorded:

                               

What is the probability that a family, chosen at random, has

1. 2 girls                                     

2. 1 girl                                           

3. No girl

Also check whether the sum of these probabilities is 1.

Refer to Example 5, Section 14.4, Chapter 14.

Find the probability that a student of the class was born in August.

                                         

Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes:

                                    

If the three coins are simultaneously tossed again, compute the probability of 2 heads coming up.

An organization selected 2400 families at random and surveyed them to

determine a relationship between income level and the number of vehicles in a family.

The information gathered is listed in the table below:

                                

Suppose a family is chosen. Find the probability that the family chosen is

(1) earning Rs 10000 – 13000 per month and owning exactly 2 vehicles.

(2) earning Rs 16000 or more per month and owning exactly 1 vehicle.

(3) earning less than Rs 7000 per month and does not own any vehicle.

(4) earning Rs 13000 – 16000 per month and owning more than 2 vehicles.

(5) owning not more than 1 vehicle.

Refer to Table 14.7, Chapter 14.

                                            

(1) Find the probability that a student obtained less than 20% in the mathematics test.

(2) Find the probability that a student obtained marks 60 or above.

To know the opinion of the students about the subject statistics, a survey of 200 students was conducted.

The data is recorded in the following table.

                                                      

Find the probability that a student chosen at random

(1) likes statistics                         

(2) does not like it

Refer to Q.2, Exercise 14.2. What is the empirical probability that an engineer life:

                            

(1) less than 7 km from her place of work?

(2) more than or equal to 7 km from her place of work?

(3) within  km from her place of work?

Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg):

4.97 5.05 5.08 5.03 5.00 5.06 5.08 4.98 5.04 5.07 5.00

Find the probability that any of these bags chosen at random contains more than 5 kg of flour.

In Q.5, Exercise 14.2, you were asked to prepare a frequency distribution table,

regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days.

Using this table, find the probability of the concentration of sulphur dioxide in the interval 0.12 - 0.16 on any of these days.

                                

In Q.1, Exercise 14.2, you were asked to prepare a frequency distribution table

regarding the blood groups of 30 students of a class.

Use this table to determine the probability that a student of this class, selected at random, has blood group AB.

A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O

A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O.