A survey of 500 families was conducted to know their opinion about a particular detergent powder. If 375 families liked the detergent powder and the remaining families disliked it, find the probability that a family chosen at random
(i) likes the detergent powder
(ii) does not like it.

Out of the past 250 consecutive days, its weather forecasts were correct 175 times.
(i) What is the probability that on a given day it was correct?
(ii) What is the probability that it was not correct on a given day?

A bag contains 5 red balls, 8 white balls, 4 green balls and 7 black balls. If one ball is drawn at random, find the probability that it is
(i) black
(ii) not green.

Cards marked with numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability that the number on the card is
(a) a number less than 14
(b) a number which is a perfect square
(c) a prime number less than 20

At a hospital, a doctor compiled the following data about 400 patients whom he could cure of hepatitis:

Another case of hepatitis is reported. What is the probability that this patient will be cured in
(i) less than 2 months?
(ii) 1 month or more but not more than 3 months?

An insurance company selected 1600 drivers at random in a particular city to find a relationship between age and number of accidents. The data obtained are given in the following table:

Find the number of drivers
(a) in the age of 25-40 years and has more than 2 accidents in the year.
(b) in the age above 40 years and has accidents more than 1 but less than 3.

The king, queen, and jack of clubs are removed from a deck of 52 cards and then shuffled. One card is selected from the remaining cards. What is the probability of getting
(a) a heart
(b) a king
(c) the 10 of hearts.

Following table shows the marks scored by a group of students in a mathematics test of 100 marks:

A student is selected at random. Find the probability that student has obtained.
(i) Less than 30
(ii) 60 or more marks
(iii) between 40 and 70 marks
(iv) 70 or more marks

The heights of the students of a class is measured and recorded as given below:

A student is selected at random. Find the probability that height of the students is :
(i) more than 135 cm
(ii) at least 145 cm
(iiii) less than 130 cm
(iv) 125 cm or more but less than 140 cm

An insurance company selected 2000 drivers a random in a particular city to find a relationship between age and accidents the data obtained are given in the following table?

Find the probabilities of the following events for a driver chosen at random from the city:
(i) being 18-29 years of age and having exactly 3 accidents in one year.
(ii) being 30-50 years of age and having one or more accidents in one year.
(iii) having no accidents in one year.

In cricket match, a batsmen hits a boundary 12 times out of 48 balls he plays. Find the probability that he does not hit a boundary in the next ball.

50 plants were sown in fice different colonies A, B, C, D and E. After 30 days, the number of plants survived as follows:

What is the probability that:
(i) more than 40 plants survived in a colony?
(ii) less than 41 plants survived in a colony?
(iii) Which values are depicted from above data?