Recent questions tagged probability

The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine $P(A\cup B)$

asked Jul 7, 2014 by sreemathi.v

1 answer

The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine $P(B \cap \bar{C}$)

asked Jul 7, 2014 by sreemathi.v

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The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine P(A)

asked Jul 7, 2014 by sreemathi.v

1 answer

One of the four persons John,Rita,Aslam or Gurpreet will be promoted next month.Consequently the sample space consists of four elementary outcomes S={John promoted,Rita promoted,Aslam promted,Gurpreet promoted}.You are told that the chances of John's promotion is same as that of Gurpreet,Rita's chances of promotion are twice as likely as John's,Aslam's chances are four times that of John.If A ={John promoted or Gurpreer promoted} find P(A)

asked Jul 7, 2014 by sreemathi.v

1 answer

One of the four persons John,Rita,Aslam or Gurpreet will be promoted next month.Consequently the sample space consists of four elementary outcomes S={John promoted,Rita promoted,Aslam promted,Gurpreet promoted}.You are told that the chances of John's promotion is same as that of Gurpreet,Rita's chances of promotion are twice as likely as John's,Aslam's chances are four times that of John.Determine P(John promoted),P(Rita promoted),P(Aslam promoted),P(Gurpreet promoted)

asked Jul 7, 2014 by sreemathi.v

1 answer

Four candidates A,B,C,D have applied for the assignment to coach a school cricket team.If A is twice as likely to be selected as B,and B and C are given about the same chance of being selected,while C is twice as likely to be selected as D,what are the probabilities that A will not be selected?

asked Jul 7, 2014 by sreemathi.v

1 answer

Four candidates A,B,C,D have applied for the assignment to coach a school cricket team.If A is twice as likely to be selected as B,and B and C are given about the same chance of being selected,while C is twice as likely to be selected as D,what are the probabilities that C will be selected?

asked Jul 7, 2014 by sreemathi.v

1 answer

A team of medical students doing their internship have to assist during surgeries at a city hospital.The probabilities of surgeries rated as very complex,complex,routine,simple or very simple are respectively 0.15,0.20,0.31,0.26,0.08.Find the probabilities that a particular surgery will be rated routine or simple

asked Jul 7, 2014 by sreemathi.v

1 answer

A team of medical students doing their internship have to assist during surgeries at a city hospital.The probabilities of surgeries rated as very complex,complex,routine,simple or very simple are respectively 0.15,0.20,0.31,0.26,0.08.Find the probabilities that a particular surgery will be rated routine or complex

asked Jul 7, 2014 by sreemathi.v

1 answer

A team of medical students doing their internship have to assist during surgeries at a city hospital.The probabilities of surgeries rated as very complex,complex,routine,simple or very simple are respectively 0.15,0.20,0.31,0.26,0.08.Find the probabilities that a particular surgery will be rated neither very complex nor very simple

asked Jul 7, 2014 by sreemathi.v

1 answer

A team of medical students doing their internship have to assist during surgeries at a city hospital.The probabilities of surgeries rated as very complex,complex,routine,simple or very simple are respectively 0.15,0.20,0.31,0.26,0.08.Find the probabilities that a particular surgery will be rated complex or very complex

asked Jul 7, 2014 by sreemathi.v

1 answer

If A and B are mutually exclusive events,$P(A)=0.35$ and $P(B)=0.45$ find $P(A' \cap B')$

asked Jul 7, 2014 by sreemathi.v

1 answer

If A and B are mutually exclusive events,$P(A)=0.35$ and $P(B)=0.45$ find $P(A \cap B')$

asked Jul 7, 2014 by sreemathi.v

1 answer

If A and B are mutually exclusive events,$P(A)=0.35$ and $P(B)=0.45$ find $P(A \cap B)$

asked Jul 7, 2014 by sreemathi.v

1 answer

If A and B are mutually exclusive events,$P(A)=0.35$ and $P(B)=0.45$ find $P(A \cup B)$

asked Jul 7, 2014 by sreemathi.v

1 answer

If A and B are mutually exclusive events,$P(A)=0.35$ and $P(B)=0.45$ find P(B')

asked Jul 7, 2014 by sreemathi.v

1 answer

If A and B are mutually exclusive events,$P(A)=0.35$ and $P(B)=0.45$ find P(A')

asked Jul 7, 2014 by sreemathi.v

1 answer

In a large metropolitan area ,the probabilities are 0.87,0.36,0.30 that a family (randomly chosen for a sample survey) owns a colour television set,a black and white television set,or both kinds of sets.What is the probability that a family owns either anyone or both kinds of sets?

asked Jul 7, 2014 by sreemathi.v

1 answer

A die is loaded in such a way that each odd number is twice as likely to occur as each even number.Find P(G),where G is the event that a number greater than 3 occurs on a single roll of the die.

asked Jul 7, 2014 by sreemathi.v

1 answer

An experiment consists of rolling a die until a 2 appears.How many elements of the sample space correspond to the event that the 2 appears not later than the $k^{th}$ roll of the die?[Hint (a) first (k-1) rolls have 5 outcomes each and $k^{th}$ rolls should result in 1 outcomes.(b) $1+5+5^2+.......5^{k-1}$]

asked Jul 7, 2014 by sreemathi.v

1 answer

An experiment consists of rolling a die until a 2 appears.How many elements of the sample space correspond to the event that the 2 appears on the $k^{th}$ roll of the die?[Hint (a) first (k-1) rolls have 5 outcomes each and $k^{th}$ rolls should result in 1 outcomes.(b) $1+5+5^2+.......5^{k-1}$]

asked Jul 7, 2014 by sreemathi.v

1 answer

Suppose an integer from 1 through 1000 is chosen at random,find the probability that the integer is a multiple of 2 or a multiple of 9.

asked Jul 7, 2014 by sreemathi.v

1 answer

Six new employees,two of whom are married to each other,are to be assigned six desks that are lined up in a row.If the assignment of employees to desks is made randomly,what is the probability that the married couple will have non adjacent desks?

asked Jul 7, 2014 by sreemathi.v

1 answer

If the letters of the word ALGORITHM are arranged at random in a row what is the probability the letters GOR must remain together as a unit ?

asked Jul 7, 2014 by sreemathi.v

1 answer

The number lock of a suitcase has four wheels,each labelled with 10 digits (ie) from 0 to 9.The lock opens with a sequence of four digits with no repeats.What is the probability of a person getting the right sequence to open the suitcase?

asked Jul 7, 2014 by sreemathi.v

1 answer

If four digit numbers greater than 5000 are randomly formed from the digits 0,1,3,5 and 7,what is the probability of forming number divisible by 5 when repetition of digits is not allowed.

asked Jul 3, 2014 by sreemathi.v

1 answer

If four digit numbers greater than 5000 are randomly formed from the digits 0,1,3,5 and 7,what is the probability of forming number divisible by 5 when the digits are repeated ?

asked Jul 3, 2014 by sreemathi.v

1 answer

From the employees of a company ,5 persons are selected to represent them in managing committee of the company.Particulars of five persons are as follows :

asked Jul 3, 2014 by sreemathi.v

1 answer

A and B are two events such that P(A)=0.54,P(B)=0.69 and $P(A\cap B)=0.35$.Find $P(B\cap A')$

asked Jul 2, 2014 by sreemathi.v

1 answer

A and B are two events such that P(A)=0.54,P(B)=0.69 and $P(A\cap B)=0.35$.Find $P(A\cap B')$

asked Jul 2, 2014 by sreemathi.v

1 answer

A and B are two events such that P(A)=0.54,P(B)=0.69 and $P(A\cap B)=0.35$.Find $P(A'\cup B')$

asked Jul 2, 2014 by sreemathi.v

1 answer

A and B are two events such that P(A)=0.54,P(B)=0.69 and $P(A\cap B)=0.35$.Find $P(A\cup B)$

asked Jul 2, 2014 by sreemathi.v

1 answer

Three letters are dictated to three persons and an envelope is addressed to each of them,the letters are inserted into the envelopes at random so that each envelope contains exactly one letter.Find the probability that at least one letter is in its proper envelope.

asked Jul 2, 2014 by sreemathi.v

1 answer

Out of 100 students,two sections of 40 and 60 are formed.If you and your friend are among the 100 students,what is the probability that,you both enter the different sections?

asked Jul 2, 2014 by sreemathi.v

1 answer

Out of 100 students,two sections of 40 and 60 are formed.If you and your friend are among the 100 students,what is the probability that,you both enter the same section

asked Jul 2, 2014 by sreemathi.v

1 answer

In a certain lottery 10,000 tickets are sold and ten equal prizes are awarded.What is the probability of not getting a prize if you buy ten tickets

asked Jul 2, 2014 by sreemathi.v

1 answer

In a certain lottery 10,000 tickets are sold and ten equal prizes are awarded.What is the probability of not getting a prize if you buy two tickets

asked Jul 2, 2014 by sreemathi.v

1 answer

In a certain lottery 10,000 tickets are sold and ten equal prizes are awarded.What is the probability of not getting a prize if you buy one ticket

asked Jul 2, 2014 by sreemathi.v

1 answer

A die has two faces each with number 1,three faces each with number 2 and one face with number 3.If die is rolled once,determine P(not 3)

asked Jul 2, 2014 by sreemathi.v

1 answer

A die has two faces each with number 1,three faces each with number 2 and one face with number 3.If die is rolled once,determine P(1 or 3)

asked Jul 2, 2014 by sreemathi.v

1 answer

A die has two faces each with number 1,three faces each with number 2 and one face with number 3.If die is rolled once,determine P(2)

asked Jul 2, 2014 by sreemathi.v

1 answer

4 cards are drawn from a well shuffled deck of 52 cards.What is the probability of obtaining 3 diamonds and one spade?

asked Jul 2, 2014 by sreemathi.v

1 answer

A box contain 10 red marbles,20 blue marbles and 30 green marbles.5 marbles are drawn from the box.What is the probability that atleast one will be green?

asked Jul 2, 2014 by sreemathi.v

1 answer

A box contain 10 red marbles,20 blue marbles and 30 green marbles.5 marbles are drawn from the box.What is the probability that all will be blue?

asked Jul 2, 2014 by sreemathi.v

1 answer

In a class of 60 students,30 opted for NCC,32 opted for NSS and 24 opted for both NCC and NSS.If one of these student students is selected at random,find the probability that the student has opted NSS but not NCC

asked Jul 2, 2014 by sreemathi.v

1 answer

In a class of 60 students,30 opted for NCC,32 opted for NSS and 24 opted for both NCC and NSS.If one of these student students is selected at random,find the probability that the student has opted for neither NCC or NSS

asked Jul 2, 2014 by sreemathi.v

1 answer

In a class of 60 students,30 opted for NCC,32 opted for NSS and 24 opted for both NCC and NSS.If one of these student students is selected at random,find the probability that the student opted for NCC or NSS

asked Jul 2, 2014 by sreemathi.v

1 answer

The probability that a student will pass the final examination in both English and Hindi 0.5 and the probability of passing neither is 0.1.If the probability of passing the english examination is 0.75.What is the probability of passing the hindi examination?

asked Jul 2, 2014 by sreemathi.v

1 answer

In an entrance test that is graded on the basis of two examinations,the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7.The probability of passing atleast one of them is 0.95.What is the probability of passing both?

asked Jul 2, 2014 by sreemathi.v

1 answer

In class XI of a school,40% of the students study mathematics and 30% study biology.10% of the class study both mathematics and biology.If a student is selected at random from the class.Find the probabilities that he will be studying mathematics or biology.

asked Jul 2, 2014 by sreemathi.v

1 answer

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