Recent questions tagged conditional-probability

Recent questions tagged conditional-probability

2 votes

1 answer

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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 _____ $\frac{3}{16}$ $\frac{45}{236}$ $\frac{1}{4}$ $\frac{3}{4}$

jothee asked in Quantitative Aptitude Mar 1

by jothee

627 views

8 votes

2 answers

2

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

by Arjun

1.3k views

0 votes

2 answers

3

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

by soujanyareddy13

215 views

2 votes

2 answers

4

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

368 views

3 votes

2 answers

5

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 balls. He draws a ... $\frac{C_{n}}{\binom{2n}{n}}$ $\frac{n\cdot C_{n}}{(2n)!}$ $\frac{n\cdot C_{n}}{\binom{2n}{n}}$

gatecse asked in Probability Sep 13, 2019

284 views

3 votes

2 answers

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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

549 views

1 vote

1 answer

7

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

1.7k views

1 vote

3 answers

8

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

582 views

1 vote

1 answer

9

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 it ... )+(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

682 views

0 votes

0 answers

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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

295 views

2 votes

3 answers

11

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

1.6k views

1 vote

1 answer

12

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

363 views

1 vote

1 answer

13

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

338 views

2 votes

1 answer

14

GO2019-FLT1-42
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

346 views

2 votes

1 answer

15

NTA NET DEC 2018 Q88
A full joint distribution for the Toothache, Cavity and Catch is given in the table below : What is the probability of Cavity, given evidence of Toothache ? (a) <0.2, 0.8> (b) <0.6, 0.4> (c) <0.6, 0.8> (d) <0.4, 0.8>

Sanjay Sharma asked in Probability Dec 25, 2018

by Sanjay Sharma

1.8k views

2 votes

0 answers

16

Kenneth Rosen Edition 7th Exercise 7.2 Question 24 (Page No. 467)
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 ... B)/P(B)=$\frac{(1/2)^4*1/2}{1/2}$ answer is given ¼? where am I going wrong?

aditi19 asked in Probability Dec 1, 2018

262 views

1 vote

0 answers

17

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?

Tuhin Dutta asked in Probability Nov 30, 2018

258 views

0 votes

1 answer

18

Probability - Gravner-37
A factory has three machines, M1, M2, and M3, that produce items (say, light bulbs). It is impossible to tell which machine produced a particular item, but some are defective. Here are the known numbers: machine proportion of items made prob. any made item is ... 5 0.003 You pick an item, test it, and find it is defective. What is the probability that it was made by M2?

Pooja Khatri asked in Probability Sep 24, 2018

by Pooja Khatri

264 views

2 votes

2 answers

19

Probability - Gravner-35
Roll a die, then select at random, without replacement, as many cards from the deck as the number shown on the die. What is the probability that you get at least one Ace?

Pooja Khatri asked in Probability Sep 23, 2018

by Pooja Khatri

213 views

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