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Recent questions and answers in Probability
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Probability question (Bayes theorem)
If H occurs, select number from 1 to 10. If T occurs, select number from 11 to 30. If selected number is prime, find the probability that it is in H.
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GATE19992.1
Consider two events $E_1$ and $E_2$ such that probability of $E_1$, $P_r[E_1]=\frac{1}{2}$, probability of $E_2$, $P_r[E_{2}]=\frac{1}{3}$, and probability of $E_1$, and $E_2$, $P_r[E_1 \: and \: E_2] = \frac{1}{5}$. Which of the following statements ... $E_1$ and $E_2$ are independent Events $E_1$ and $E_2$ are not independent $P_r \left[{E_1}\mid{E_2} \right] = \frac{4}{5}$
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gate1999
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GATE201118
If the difference between the expectation of the square of a random variable $\left(E\left[X^2\right]\right)$ and the square of the expectation of the random variable $\left(E\left[X\right]\right)^2$ is denoted by $R$, then $R=0$ $R<0$ $R\geq 0$ $R > 0$
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GATE 2018 MA Probability
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GATE 2015 MA Probability
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GATE 2013 MA Statistics
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GATE 2012 Probability
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GATE 2011 MA Probability
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GATE 2008 MA Exponential Distribution
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GATE 2009 MA RANDOM VARIABLES
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GATE 2009 MA Probability
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GATE 2008 MA Normal Distribution
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GATE 2007 MA Probability
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GATE 2007 MA Statistics
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Probability Question
Source: https://www.facebook.com/photo.php?fbid=10156888790977640&set=gm.2199432896992966&type=3&theater
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Probability
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GATE ECE 2014
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Dec 8
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2014ece
probability
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17
Probablity
Given a coin which gives HEADS with probability 1/4 and TAILS with 3/4. The coin is tossed k times. What is the probability that we get at least k/2 HEADS is less than or equal to? (A) (1/2) k/5 (B) (1/2) k/2 (C) (1/3) k/2 (D) (1/5) k/2 (Explain how to solve the summation of binomial equation that comes up )
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Dec 8
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Probability
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engineeringmathematics
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18
Rosen
What is the conditional probability that exactly four heads appear when a fair coin is flipped five times, given that the first flip came up heads? shouldn’t the answer be 1/16? my approach probability that we get 4 head after 4 toss=(1/2)^4 probability that outcome of first toss is head=½ P(A/B)=P(A ∩ B)/P(B)=$\frac{(1/2)^4*1/2}{1/2}$ answer is given ¼? where am I going wrong?
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Dec 6
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kennethrosen
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Rosen
what is the probability that in a group of n people chosen at random, there are atleast two people born in the same month of the year?
[closed]
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TIFR2010B38
Suppose three coins are lying on a table, two of them with heads facing up and one with tails facing up. One coin is chosen at random and flipped. What is the probability that after the flip the majority of the coins(i.e., at least two of them) will have heads facing up? ... $\left(\frac{1}{4}\right)$ $\left(\frac{1}{4}+\frac{1}{8}\right)$ $\left(\frac{2}{3}\right)$
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Dec 1
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Probability
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tifr2010
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21
Doubt on probability
15 students among whom are A and B arranged randomly in a row. Obtain the probability that there will be 3 students between A and B?
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Nov 30
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Probability
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probability
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22
Doubt on conditional probability
It had been found from past experience that of the articles produced by a factory, 20% comes from Machine 1; 30% comes from Machine 2 and 50% from Machine 3. The percentages of satisfactory articles among those produced are 95 for machine 1, ... that is satisfactory? ii) Assume the article is satisfactory. What is the probability that it was produced by machine 1?
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Nov 30
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grade up
If a fair coin is tossed until the same result turns up in succession (both head or both tail) then find the probability when the number of tosses are even. (Round up to two decimal places)
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Nov 29
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Probability
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Lakshman Patel RJIT
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24
Probability
The probability of a student passing an exam is 0.1. What is the probability that he passes the exam in the 3rd attempt? Please explain in details. I am confused about these two approaches: Approach 1: P(passing in 3rd attempt)=P(failed in 1st)*P(failed in 2nd ... pass rate will always remain constant no matter on which attempt he is trying. ie. Answer = 0.1 Which one is wrong and why?
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Nov 28
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Probability
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21
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probability
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25
Probability
After practicing some problems in probability I have realized that I have confusions regarding problems of type "With replacement" and "Without replacement" To clarify my doubt I would like to see a detailed solution of the following problem : What is ... of selecting 2 Kings from the pack of 52 cards: 1. With replacement 2. Without replacement Can anyone help me?
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Nov 28
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Probability
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Lakshman Patel RJIT
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probability
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26
Probability
From a deck of 52 cards, what is the probability of picking 2 kings: a)With replacement B)Without replacement Please explain in details. I am new to probability. Thank you. :)
[closed]
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Nov 28
in
Probability
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punkprincess
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47
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19
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probability
engineeringmathematics
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27
Probability Doubt
What is the difference between Independent Events and Disjoint Events?
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Nov 27
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Probability
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Lakshman Patel RJIT
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probability
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28
GATE 2010IN  02
The diameters of $10000$ ball bearings were measured. The mean diameter and standard deviation were found to be $10mm$ and $0.05mm$ respectively. Assuming Gaussian distribution of measurements, it can be expected that the number of measurements more than $10.15mm$ will be (A) 230 (B) 115 (C) 15 (D) 2
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Nov 26
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Probability
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55
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+3
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3
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29
ISRODEC20173
A bag contains $19$ red balls and $19$ black balls.Two balls are removed at a time repeatedly and discarded if they are of the same colour, but if they are different, black ball is discarded and red ball is returned to the bag ,The probability that this process will terminate with one red ball is $1$ $\dfrac{1}{21}$ $0$ $0.5$
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Nov 25
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Probability
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isrodec2017
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30
Conditional Probability
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Nov 25
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Probability
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48
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31
ESE 2018
In a sample of 100 students, the mean of the marks (only integers) obtained by them in a test is 14 with its standard deviation of 2.5(marks obtained can be fitted with a normal distribution ).the percentage of students scoring 16 marks is a)36 b)23 c)12 d)10 (Area under standard normal curve between z=0 and z=0.6 is 0.2257 ; and between z=0 and z=1.0 is 0.3413)
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Nov 24
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Probability
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sim1234
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211
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25
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probability
+2
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1
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32
X and Y are two independent random variables
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Nov 24
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Probability
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134
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probability
0
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33
Probablity
Suppose each of three men at a party throws his hat into the center of the room. The hats are first mixed up and each man randomly selects a hat. what is the probability that a. All of three men select his own hat. b.None of three men select his own hats.
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Nov 23
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Probability
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probability
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0
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1
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34
Probability  Gravner33.a
An urn contains 10 black and 10 white balls. Draw 3 a) without replacement
answered
Nov 22
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Probability
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probability
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35
Probability  Gravner15.a
A tennis tournament has $2n$ participants, $n$ Swedes and n Norwegians. First, $n$ people are chosen at random from the $2n$ (with no regard to nationality) and then paired randomly with the other $n$ people. Each pair proceeds to play one match. An ... $n$ (ordered) pairs, giving the winner and the loser in each of the $n$ matches. (a) Determine the number of outcomes.
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Nov 22
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Probability
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11
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probability
gravner
engineeringmathematics
+10
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12
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36
TIFR2012A1
Amar and Akbar both tell the truth with probability $\dfrac{3 } {4}$ and lie with probability $\dfrac{1}{4}$. Amar watches a test match and talks to Akbar about the outcome. Akbar, in turn, tells Anthony, "Amar told me that India won". What probability should Anthony ... $\left(\dfrac{7}{16}\right)$ $\left(\dfrac{10}{16}\right)$ None of the above
answered
Nov 22
in
Probability
by
Ramu Kumar
(
33
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994
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tifr2012
probability
conditionalprobability
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2
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37
made easy test series  30 cards are drawn at a time out of 80 playing cards numbered from 1 to 80
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Nov 22
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expectation
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38
probability
Consider a hash table with 10 slots. Collisions are resolved using linear probing. The probability that if first 3 slots are unfilled and 4th insertions leads to a collisions ________. (Upto 3 decimal places) // my answer is 7/10 * 6/10 * 5/10 * 3/7 = 90/1000 = 0.09
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Nov 20
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Probability
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Lone Wolf
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51
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39
Self doubt
1) P(A/B) = P(A $\cap$ B) / P(B) 2) P(A/B) = P(B $\cap$ A) / P(B) What is the difference in this equation.. P(A $\cap$ B) and P(B $\cap$ A) are same ???
asked
Nov 20
in
Probability
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jatin khachane 1
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33
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probability
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40
ME Test Series
[closed]
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Nov 19
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Probability
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Shadan Karim
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359
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46
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