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Can the experimental probability of an event be a negative number ? If not, why ?
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No, since the number of trails in which the event can happen cannot be negative and the total number of trials is always positive.
The probability of an event can be any number from 0 to 1. Is it true ? Justify.
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It is true that the minimum probability is zero and the maximum probability of an event is 1 and the probability of an event lies between 0 and 1.
As the number of tosses increases, the ratio of the number of heads to the total number of tosses will be \( \dfrac{1}{2}\). It is correct ? if not, write the correct one.
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No, as the number of tosses of a coin increase, the ratio of the number of heads to the total number of tosses will be near to not exactly
What is the probability of an impossible event ?
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The probability of an impossible event is 0. Impossible event is an event that is non existing.
What is the probability of a sure event ?
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A sure event is an event, which always happens. For example ,it’s a sure event to obtain a number between 1 and 6 when rolling an ordinary die. The probability of a sure event has the value of 1. The probability of an impossible event has the value of 0.
An unbiasd die is thrown. List all possible outcomes.
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Possible outcomes are 1, 2, 3, 4, 5, 6
Two coins are tossed 500 times and the outcomes are recorded as below :
Based on this information, find the probability for (i) at most one head (ii) at least one head.
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(i) P(at most one head)
(ii) P(at least one head)
In a sample study of 420 people, it was found that 240 people were government employees. If a person is selected at random, find the probability that the person is not a government employee.
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P(government employees)
P(not a government employees)
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.
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The total number of wheat flour bags = 11.
The number of wheat flour bags contain more than 5 Kg are 7.
Then probability of bags chosen at random
A die is thrown 500 times, the frequency of outcomes 1, 2, 3, 4, 5 and 6 are noted in the following frequency distribution table :
Find the probability of occurrence of a prime number.
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P(prime number)
Following table shows the marks obtained by 30 students in a class test :
Find the probability that a student secures
(a) 60 marks
(b) less than 60 marks
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P(60 marks)
P(less than 60 marks)
A survey of 100 students is done regarding the likes and dislikes about the subject mathematics. The data are given below :
Find the probability that a student chosen randomly
(a) likes mathematics
(b) does not like mathermatics
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P(likes mathematics)
P(does not like mathematics)
Two dice are thrown simultaneously 200 times. Each time the sum of numbers appearing on their tops is noted and recorded as below :
Find the probability of getting a sum :
(i) more than 10 ?
(ii) less than or equal to 5 ?
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(i) P(more than 10)
(ii) P(less than or equal to 5)
The following table is an extract from a mortality table
(i) Based on this information, what is the probability of a person ‘aged 60’ of dying within a year ?
(ii) What is the probability that a person ‘aged 61’ will live for 4 years ?
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(i) No. of person aged 60 dying
(ii) No. of persons aged 61′ surving for 4 years = 2320
In a survey of 200 people, it was found that 142 read newspaper daily and rest read newspaper occasionally. Find the probability that a person chosen at random :
(i) reads newspaper daily
(ii) reads newspaper occasionally
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(i)
(ii)
The percentage of marks obtained by a student in monthly unit test are given below :
Find the probability that the student gets :
(i) more than 70% marks
(ii) less than 70% marks
(iii) more than 90% marks
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(i)
(ii)
(iii)
Bulbs are packed in cartons, each containing 40 bulbs. Seven bundered cartons were examined for defective bulbs and the results are given in the following table :
One carton was selected at random, what is the probability that it has :
(i) no defective bulbs ?
(ii) defective bulbs from 2 to 6 ?
(iii) defective bulbs less than 4?
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(i) P(no defective bulb)
(ii) P(defective bulb from 2 to 6)
(iii)
The records of a weather station shows that out of the 250 consecutive days, its weather forecast 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 ?
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(i)
(ii)
Marks obtained by students of class IX in Mathematics are given in the table :
(i) Find the probability that a student gets less than 40% in a test.
(ii) Find the probability that a student gets more than 80%
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(i) P(less than 40%)
(ii) P(more than 80%)
A bag contains tickets which are numbered from 1 to 100. Find the probability that a ticket number picked up at random
(i) is a multiple of 7
(ii) is not a multiple of 7.
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(i) There are 14 numbers which are divisible by 7
(ii)