English

Define a trial. - Mathematics

Advertisements
Advertisements

Question

Define a trial.

 
Answer in Brief

Solution

What is the meaning of trial?

The word trial means a test of performance, qualities, or suitability.

Definition:

Any particular performance of a random experiment is called a trial. That is, when we perform an experiment it is called a trial of the experiment.

By experiment or trial, we mean a random experiment unless otherwise specified. Where you are required to differentiate between a trial and an experiment, consider the experiment to be a larger entity formed by the combination of a number of trials.

To illustrate the definition, let us take examples:

1. In the experiment of tossing 4 coins, we may consider tossing each coin as a trial and therefore say that there are 4 trials in the experiment.

2. In the experiment of rolling a dice 5 times, we may consider each rolls as a trial and therefore say that there are 5 trials in the experiment.

Note that rolling a dice 5 times is same as rolling 5 dices each one time. Similarly, tossing 4 coins is same as tossing one coin 4 times.

shaalaa.com
  Is there an error in this question or solution?
Chapter 25: Probability - Exercise 25.2 [Page 16]

APPEARS IN

RD Sharma Mathematics [English] Class 9
Chapter 25 Probability
Exercise 25.2 | Q 1 | Page 16

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Blood Group Number of Students
A 9
B 6
AB 3
O 12
Total 30

The above frequency distribution table represents 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.


Two coins 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.


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.


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

Wages (in Rs) 110-130 130-150 150-170 170-190 190-210 210-230 230-250
No. of workers 3 4 5 6 5 4 3


A worker is selected at 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.


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


A bag 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 penalty kicks. The probability of converting a penalty kick into a goal by Ronaldo, is


In a sample study of 642 people, it was found that 514 people have a high school certificate. If a person is selected at random, the probability that the person has a high school certificate is ______.


Bulbs are packed in cartons each containing 40 bulbs. Seven hundred cartons were examined for defective bulbs and the results are given in the following table:

Number of defective bulbs 0 1 2 3 4 5 6 more than 6
Frequency 400 180 48 41 18 8 3 2

One carton was selected at random. What is the probability that it has

  1. no defective bulb?
  2. defective bulbs from 2 to 6?
  3. defective bulbs less than 4?

Over the past 200 working days, the number of defective parts produced by a machine is given in the following table:

Number of
defective parts
0 1 2 3 4 5 6 7 8 9 10 11 12 13
Days 50 32 22 18 12 12 10 10 10 8 6 6 2 2

Determine the probability that tomorrow’s output will have not more than 5 defective parts


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×