Recent questions tagged conditional-probability

Recent questions tagged conditional-probability

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Probability
A survey was conducted with recent MBAs of two different universities about their annual incomes. The following table displays data collected. Annual Income University X University Y Total Under 8L 36 24 60 8L to 12L 109 56 165 12L and above 35 40 75 Total ... the probability that an MBA gets salary less than 8L? What is the probability that an MBA from university Y earns 10L annually?

__medhaa asked in Probability Feb 9

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Probability
Use the following data. Have pets Do not have pets Total Men 0.41 0.08 0.49 Women 0.45 0.06 0.51 Total 0.86 0.14 1 What is the probability of a randomly selected person being a man, given that they do not own a pet? What is the probability for a woman to be a pet owner? How likely is that a randomly selected person is a pet owner man?

__medhaa asked in Probability Feb 9

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3

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

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2 votes

1 answer

4

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

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9 votes

2 answers

5

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

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6

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

388 views

2 votes

2 answers

7

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

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3 votes

2 answers

8

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

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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

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1 vote

1 answer

10

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

2.3k views

1 vote

3 answers

11

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

950 views

1 vote

1 answer

12

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

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13

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

334 views

2 votes

3 answers

14

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

2.0k views

2 votes

1 answer

15

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

417 views

1 vote

1 answer

16

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

398 views

2 votes

1 answer

17

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

413 views

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