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Recent questions tagged conditional-probability
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91
Conditional Probability
The above-given problem is from MIT-OCW probability - https://tinyurl.com/25wamnxz There are two biased coins - A and B. The probability of choosing either coin is 0.5. Once the coins are chosen, we perform the experiment of tossing the coins as shown in the ... probability of (A | B) i.e. if we get 10 successive heads, then what is the probability that coin A was chosen?
allSystemsDown
asked
in
Probability
Dec 26, 2021
by
allSystemsDown
553
views
probability
conditional-probability
3
votes
1
answer
92
GATE Mechanical 2021 Set 2 | GA Question: 7
A box contains $15$ blue balls and $45$ black balls. If $2$ balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black ball, is _____ $\frac{3}{16}$ $\frac{45}{236}$ $\frac{1}{4}$ $\frac{3}{4}$
go_editor
asked
in
Quantitative Aptitude
Mar 1, 2021
by
go_editor
1.7k
views
gateme-2021-set2
quantitative-aptitude
probability
conditional-probability
21
votes
2
answers
93
GATE CSE 2021 Set 1 | Question: 54
A sender $(\textsf{S})$ transmits a signal, which can be one of the two kinds: $H$ and $L$ with probabilities $0.1$ and $0.9$ respectively, to a receiver $(\textsf{R})$. In the graph below, the weight of edge $(u,v)$ is the ... $0.7$. If the received signal is $H,$ the probability that the transmitted signal was $H$ (rounded to $2$ decimal places) is __________.
Arjun
asked
in
Probability
Feb 18, 2021
by
Arjun
5.5k
views
gatecse-2021-set1
probability
conditional-probability
numerical-answers
2-marks
0
votes
2
answers
94
CMI-2018-DataScience-A: 12
In an entrance examination with multiple choice questions, with each question having four options and a single correct answer, suppose that only $20\%$ candidates think they know the answer to one difficult question and only half of them know it ... same. If a candidate has correctly answered the question, what is the (conditional) probability that she knew the answer?
soujanyareddy13
asked
in
Others
Jan 29, 2021
by
soujanyareddy13
850
views
cmi2018-datascience
conditional-probability
probability
2
votes
1
answer
95
NIELIT Scientific Assistant A 2020 November: 99
A bag contains $10$ white balls and $5$ blue balls. A ball is drawn from the bag and its color is noted. This ball is put back in the bag along with $3$ more balls of the same color. A ball is drawn again from the bag at random. The probability that the first ball drawn is blue, given that the second ball drawn is blue, is: $1/3$ $3/4$ $8/9$ $4/9$
gatecse
asked
in
Probability
Dec 9, 2020
by
gatecse
747
views
nielit-sta-2020
probability
conditional-probability
4
votes
1
answer
96
TIFR CSE 2020 | Part A | Question: 11
Suppose we toss $m=3$ labelled balls into $n=3$ numbered bins. Let $A$ be the event that the first bin is empty while $B$ be the event that the second bin is empty. $P(A)$ and $P(B)$ denote their respective probabilities. Which of the following is true? $P(A)>P(B)$ $P(A) = \dfrac{1}{27}$ $P(A)>P(A\mid B)$ $P(A)<P(A\mid B)$ None of the above
admin
asked
in
Probability
Feb 10, 2020
by
admin
835
views
tifr2020
probability
conditional-probability
3
votes
2
answers
97
CMI2018-A-6
You are given two coins $A$ and $B$ that look identical. The probability that coin $A$ turns up heads is $\frac{1}{4}$, while the probability that coin $B$ turns up heads is $\frac{3}{4}.$ You choose one of the coins at random and toss it twice. If both the outcomes are heads, what is the probability that you chose coin $B?$ $\frac{1}{16}$ $\frac{1}{2}$ $\frac{9}{16}$ $\frac{9}{10}$
gatecse
asked
in
Probability
Sep 13, 2019
by
gatecse
759
views
cmi2018
conditional-probability
5
votes
2
answers
98
CMI2018-A-7
Let $C_{n}$ be the number of strings $w$ consisting of $n$ $X's$ and $n$ $Y's$ such that no initial segment of $w$ has more $Y's$ than $X's.$ Now consider the following problem. A person stands on the edge of a swimming pool holding a bag of $n$ red and $n$ blue ... $\frac{C_{n}}{\binom{2n}{n}}$ $\frac{n\cdot C_{n}}{(2n)!}$ $\frac{n\cdot C_{n}}{\binom{2n}{n}}$
gatecse
asked
in
Probability
Sep 13, 2019
by
gatecse
586
views
cmi2018
conditional-probability
balls-in-bins
4
votes
2
answers
99
CMI2018-A-8
There are $7$ switches on a switchboard, some of which are on and some of which are off. In one move, you pick any $2$ switches and toggle each of them-if the switch you pick is currently off, you turn it on, if it is on, you turn it off. Your aim is to execute a sequence of ... (off,on,off,on,off,off,on) (off,on,on,on,on,on,off) (on,off,on,on,on,on,on) (off,off,off,off,off,on,off)
gatecse
asked
in
Probability
Sep 13, 2019
by
gatecse
980
views
cmi2018
conditional-probability
3
votes
1
answer
100
Conditional Probability
A multiple choice exam has 4 choices for each question. A student has studied enough so that the probability they will know the answer to a question is 0.5, the probability that they will be able to eliminate one choice is 0.25, otherwise ... the test to measure what the student knows. If the student answers a question correctly what's the probability they knew the answer?
Na462
asked
in
Probability
Feb 18, 2019
by
Na462
4.5k
views
conditional-probability
probability
1
vote
3
answers
101
Conditional probability
Oscar has lost his dog in either forest A (with a priori probability 0.4) or in forest B (with a priori probability 0.6). On any given day, if the dog is in A and Oscar spends a day searching for it in A, the conditional probability that he will find the dog that day is 0.25. ... +(1/2)*0.15; but the answer given is=(0.5*0.4*0.25)+(0.5*0.6*0.15); what is wrong with my logic?
DIYA BASU
asked
in
Probability
Feb 16, 2019
by
DIYA BASU
1.8k
views
conditional-probability
2
votes
1
answer
102
Applied Course Mock Test 4
Q32 [Mock 4]. Naveen's coin box contains 8 fair standard coins (heads and tails) and 1 coin which has heads on both sides. He selects a coin randomly and flips it 4 times, getting all heads. If he flips this coin again, what is the probability ... +(1/9)*(1) Probability of choosing fair coin and P(heads)+ P(unfair)*P(heads). Please help me understand this question.
great_gater
asked
in
Probability
Jan 22, 2019
by
great_gater
1.2k
views
conditional-probability
probability
discrete-mathematics
0
votes
0
answers
103
probability
Probability density function of a random variable X is distributed uniformly between 0 and 10 The probability that X lies between 2.5 to 7.5 and the mean square value of X are respectively. please give step by step answer in a detailed manner.
learner_geek
asked
in
Probability
Jan 21, 2019
by
learner_geek
584
views
probability
engineering-mathematics
random-variable
conditional-probability
2
votes
3
answers
104
probability
In a lottery, 10 tickets are drawn at random out of 50 tickets numbered from 1 to 50. What is the expected value of the sum of numbers on the drawn tickets?
learner_geek
asked
in
Mathematical Logic
Jan 20, 2019
by
learner_geek
3.9k
views
probability
engineering-mathematics
conditional-probability
random-variable
3
votes
1
answer
105
probability
A player tosses two fair coins. He wins rs 2 if 2 heads occur and rs 1 if 1 head occurs. On the other hand, he loses rs 3 if no heads occur. if the player plays 100 times.then the amount he wins______________(RS).
learner_geek
asked
in
Mathematical Logic
Jan 20, 2019
by
learner_geek
648
views
probability
engineering-mathematics
random-variable
conditional-probability
2
votes
1
answer
106
Probability
Prabha is working in a software company. Her manager is running a dinner for those employees having atleast one son. If Prabha is invited to the dinner and everyone knows she has two children. What is the probability that they are both boys?
ghostman23111
asked
in
Mathematical Logic
Jan 19, 2019
by
ghostman23111
820
views
probability
engineering-mathematics
conditional-probability
3
votes
1
answer
107
GATE Overflow | Mock GATE | Test 1 | Question: 42
An urn contains $m$ WHITE and $n$ BLACK balls. A ball is drawn at random and is put back into the urn along with $k$ additional balls of the same color as that of the ball drawn. If now a ball is drawn, the probability that it is WHITE is? $(m+k)/(m+n+k)$ $(n+k)/(m+n+k)$ $m/(m+n+k)$ $m/(m+n)$
Ruturaj Mohanty
asked
in
Probability
Dec 27, 2018
by
Ruturaj Mohanty
699
views
go2019-flt
engineering-mathematics
conditional-probability
probability
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