A coin is tossed 1000 times with the following frequencies:

Head: 455, Tail: 545

Compute the probability for each event.

Two coind are tossed simultaneously 500 times with the following frequencies of different outcomes:

Two heads: 95 times

One tail: 290 times

No head: 115 times

Find the probability of occurrence of each of these events.

Three coins are tossed simultaneously 100 times with the following frequencies of different outcomes :

If the three coins are simultaneously tossed again, compute the probability of :

(i) 2 heads coming up.

(ii) 3 heads coming up.

(iii) at least one head coming up.

(iv) getting more heads than tails.

(v) getting more tails than heads.

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

If a family is chosen at random, compute the probability that it has:

(i) No girl

(ii) 1 girl

(iii) 2 girls

(iv) At most one girl

(v) More girls than boys.

In a cricket match, a batsman hits a boundry 6 times out of 30 balls he plays.

Find the probability that on a ball played :

(i) he hits boundry

(ii) he does not hit a boundry.

The percentage of marks obtained by a student in monthly unit tests are given below :

Find the probability that the student gets :

(i)More than 70% marks

(ii) Less than 70% marks

(iii) A distinction.

To know the opinion of the students about Mathematics, a survey of 200 students was conducted. The data is recorded in the following tables:

Find the probability that a student chosen at random

(i) likes Mathematics

(ii) does not like it.

The blood groups of 30 students of class iX are recorded as follows :

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

A student is selected at random from the class from blood donation. Find the probability that the blood group of the student chosen is :

(i) A

(ii) B

(iii) AB

(iv) O

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

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

Following table shows the birth month of 40 students of class IX.

Find the probability that a student was born in August.

Given below is the frequency distribution table regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days.

Find the probability of concentration of sulphur dioxide in the interval 0.12-0.16 on any of these days.

A company selected 2400 families at random and survey them to determine a relationship between income level and the number of vehicles in a home. The information gathered is listed in the table below :

If a family is chosen find the probability that the family is:

(i) earning Rs. 10,000 – 13,000 per month and owning exactly 2 vehicles.

(ii) earning Rs. 16,000 or more per month and owning exactly 1 vehicles.

(iii) earning less than Rs. 7,000 per month and does not own any vehicles.

(iv) earning Rs. 13,000 – 16,000 per month and owning more than 2 vehicles.

(v) owning not more than 1 vehicle.

(vi)owning at least one vehicle.

The following table gives the life time of 400 neon lamps:

A bulb is selected at random. Find the probability that the life time of the selected bulb is:

(i) less than 400

(ii) between 300 to 800 hours

(iii)at least 700 hours.

Given below is the frequency distribution of wages (in Rs.) of 30 workers in a certain factory :

A worker is selected atr random. Find the probability that his wages are :

(i) less than Rs. 150

(ii) at least Rs. 210

(iii) more than or equal to 150 but less than Rs. 210.

Define a trial.

Define an elementary event.

Define an event.

Define probability of an event.

A bag contains 4 white balls and some red balls. If the probability of drawing a white ball from the bag is , find the number of red balls in the bag.

A die is thrown 100 times. If the probability of getting an even number is . How many times an odd number is obtained?

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

Find the probability of getting at most two heads.

what is the probability of getting at least two heads?

The probability of an impossible event is

The probability of a certain event is

The probability of an event of a trials is

Which of the following cannot be the probability of an event?

Two coins are tossed simultaneously. The probability of getting atmost one head is

A coin is tossed 1000 times, if the probability of getting a tail is 3/8, how many times head is obtained?

A dice is rolled 600 times and the occurrence of the outcomes 1, 2, 3, 4, 5 and 6 are given below :

The probability of getting a prime number is

The percentage of attendance of different classes in a year in a school is given below :

What is the probability that the class attendance is more than 75%?

A bag is contains 50 coins and each coin is marked from 51 to 100. One coin is picked at random. The probability that the number on the coin is not a prime number, is

In a football match, Ronaldo makes 4 goals from 10 penanlty kicks. The probability of converting a penalty kick into a goal by Ronaldo, is