Recent questions tagged conditional-probability

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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?

asked Sep 24 in Probability by Pooja Khatri Active (5k points) | 46 views

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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?

asked Sep 23 in Probability by Pooja Khatri Active (5k points) | 21 views

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1 answer

3

Probability - Gravner-34
Flip a fair coin. If you toss Heads, roll 1 die. If you toss Tails, roll 2 dice. Compute the probability that you roll exactly one 6.

asked Sep 23 in Probability by Pooja Khatri Active (5k points) | 28 views

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1 answer

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Probability - Gravner-33.b
An urn contains 10 black and 10 white balls. Draw 3 b) with replacement . what is probability that all three are white

asked Sep 23 in Probability by Pooja Khatri Active (5k points) | 18 views

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5

Probability - Gravner-33.a
An urn contains 10 black and 10 white balls. Draw 3 a) without replacement

asked Sep 23 in Probability by Pooja Khatri Active (5k points) | 13 views

+1 vote

1 answer

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Probability - Gravner-32.b
Toss a coin $10$ times. b) at least $7$ Heads are tossed , what is the probability that your first toss is Heads?

asked Sep 23 in Probability by Pooja Khatri Active (5k points) | 29 views

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0 answers

7

Probability - Gravner-32.a
Toss a coin $10$ times. a) that exactly 7 Heads ar tossed.

asked Sep 23 in Probability by Pooja Khatri Active (5k points) | 20 views

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2 answers

8

Probability
Please explain how $P(A ∩ B) = P(A)P(B)$? If $A$ and $B$ are independent.

asked Sep 17 in Probability by Vishnathan (285 points) | 35 views

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Conditional Probability (Papoulis)
Trains X and Y arrive at a station at random between 8 A.M. and 8.20 A.M. Train X stops for four minutes and train Y stops for five minutes. Assuming that the trains arrive independently of each other. (a) Determine the ... ) Assuming that the trains met, determine the probability that train X arrived before train Y. Note: please explain in detail. Thanks

asked Aug 29 in Probability by Ravi Raja (95 points) | 47 views

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2 answers

10

Bayes theorem
This is extended form of Bayes theorem Can somebody explain (or can prove), how from 1st line 2 line came?

asked May 5 in Probability by srestha Veteran (101k points) | 116 views

+1 vote

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11

Probability
murder takes place in an isolated village with 500 inhabitants. The police believe that red polyester fibers will have been transferred on to the murderer's clothes during the assault. Forensic experiments reveal that a probability of 0.9 can be assigned to such a transfer while the ... (a) P(guilt| fibers present) (b) P(fibres|guilt) (c) P(fibers) (d) P(guilt and fibers present).

asked Apr 18 in Mathematical Logic by Abhi Girin (485 points) | 111 views

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12

Gate 2017
$P$ & $Q$ are considering to apply for a job.The probability that $P$ applies for a job is $\dfrac{1}{4}$, the probability that $P$ applies for the job given that $Q$ applies for the job is $\dfrac{1}{2}$, and the probability that $Q$ applies for the job given that $P$ applies for ... that $Q$ does not apply for the job is $\dfrac{4}{5}$ $\dfrac{5}{6}$ $\dfrac{7}{8}$ $\dfrac{11}{12}$

asked Mar 28 in Probability by Avik Chowdhury Junior (837 points) | 77 views

+4 votes

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13

Probability
Experiment one results in the mutually exclusive and collectively exhaustive events $A, B$ and $C$. Experiment two results in the mutually exclusive and collectively exhaustive events $D$ and $E$. The joint probabilities of the events that may result from these two experiments are given below: $A$ $B$ $C$ $D$ $0.12$ $0. ... $4, 6, 7, 10$ $2, 3, 4, 6, 9$ $3, 5, 7, 8, 10$ $1, 2, 4, 6, 9.$

asked Mar 24 in Probability by Jason Active (1.5k points) | 142 views

0 votes

3 answers

14

Probability
If events $B$ and $C$ are dependent on event $A$ and $P(A \hspace{0.1cm}and\hspace{0.1cm} B) = 0.30$, $P(A\hspace{0.1cm} and\hspace{0.1cm} C) = 0.20$ and the dependent events $B$ and $C$ are mutually exclusive and collectively exhaustive, then $P(C/A)$ is equal to ________ ?

asked Mar 24 in Probability by Jason Active (1.5k points) | 286 views

0 votes

1 answer

15

Naive Bayes Algorithm
What is the step by step procedure to apply algorithms like Decision Tree, Naive Bayes, etc... on a dataset using Python?

asked Feb 21 in Big Data/Data Analytics by Balaji Jegan Active (3.1k points) | 194 views

0 votes

1 answer

16

PROBABILITY GATE QUESTION

asked Feb 14 in Probability by cocgame (151 points) | 1.1k views

+5 votes

3 answers

17

GATE2018-44
Consider Guwahati, (G) and Delhi (D) whose temperatures can be classified as high $(H)$, medium $(M)$ and low $(L)$. Let $P(H_G)$ denote the probability that Guwahati has high temperature. Similarly, $P(M_G)$ and $P(L_G)$ denotes the ... (L_G)=0.3$, then the probability (correct to two decimal places) that Guwahati has high temperature given that Delhi has high temperature is _____

asked Feb 14 in Probability by gatecse Boss (18.3k points) | 2.2k views

+1 vote

0 answers

18

Made Easy Full Test - Hashing + Probability

asked Jan 18 in Probability by Akash Mishra Junior (999 points) | 213 views

+1 vote

0 answers

19

Bayes theorem
The chances that doctor A will diagnose a disease X correctly is 60%. The chances that a patient will die by his treatment after correct diagnosis is 40% and the chances of death by wrong diagnosis is 70%. A patient of doctor A, who had disease X, died ... disease was diagnosed correctly is ________%. I had solved it using Bayes theorem. and getting 66.66% but answer given is 46.15.

asked Jan 15 in Calculus by Shubhanshu Boss (16.3k points) | 494 views

+4 votes

3 answers

20

Total probability and Baye's theorem
When we should use Total probability and Baye's Theorem? Explain with examples.

asked Jan 11 in Probability by Sona Barman Active (1.2k points) | 157 views

+3 votes

0 answers

21

Conditional probability
A student $Y$ lives in a place $X$. In $X$ a day can be cloudy with probability $\bf0.02$ uniformly each day. $Y$'s friends may come to his house with probability $\bf0.2$ uniformly in each day irrespective of weather condition. These two events are independent. $Y$ can play ... \text{Friends came}} \; {\bf|} \;\; {\color{maroon}{\text{Y plays}} } )$ on a particular day ?

asked Dec 25, 2017 in Probability by Debashish Deka Veteran (57.4k points) | 149 views

0 votes

1 answer

22

Gambler and Four Coins
A Gambler has four coins in his pocket. Two are double-headed, one is double-tailed and one is normal coin. The coins cannot be distinguished until one looks at them. The gambler takes a coin at random, opens his eyes and sees that the upper face of the coin is the head. What is the probability that the lower face is a head? Given answer is 4/5. I think it should be 2/3.

asked Dec 6, 2017 in Probability by Shubhanshu Boss (16.3k points) | 87 views

0 votes

0 answers

23

Probability

asked Dec 5, 2017 in Probability by Parshu gate Active (5k points) | 107 views

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1 answer

24

probability
A jewelry showroom has announced “500” vehicles prizes, out of which 200 are cars and 300 are bikes. Showroom has purchased 120 bikes and 25 cars from Suzuki and 100 bikes and 150 cars from Mahindra, 80 bikes and 25cars from BMW. What is the probability that a person who won a bike, which is of Suzuki company

asked Nov 27, 2017 in Probability by Parshu gate Active (5k points) | 161 views

+1 vote

1 answer

25

Probability
Suppose two dies are rolled .What is the probability of getting 4 on the first die , when the the sum is 6 ? A) 1/5 B)1/6

asked Oct 31, 2017 in Probability by NIKU (225 points) | 151 views

+3 votes

1 answer

26

Probability

asked Oct 25, 2017 in Probability by Shivam Chauhan Loyal (8.9k points) | 147 views

+1 vote

1 answer

27

Probability
Let X and Y be independent random variables each taking the values -1 or 1 with probability 1/2. Let Z=XY . Show that X,Y,Z are pairwise independent . Are they indepenedent ?

asked Sep 25, 2017 in Probability by ashwina Active (2.1k points) | 105 views

+2 votes

1 answer

28

MA 2014
The time to failure, in months, of light bulbs manufactured at two plants A and B obey the exponential distribution with means 6 and 2 months respectively. Plant B produces four times as many bulbs as plant A does. Bulbs from these plants are indistinguishable. They ... is working after 12 months, the probability that it was manufactured at plant A is _____ GIVEN ANSWER: 0.92 to 0.94

asked Sep 17, 2017 in Probability by Amit puri Active (3.2k points) | 123 views

+1 vote

1 answer

29

Probability
If two fair coins are flipped and at least one of the outcomes is known to be a head, what is the probability that both outcomes are heads? Ans is 1/3. Why this answer does not come when we apply conditional probability?

asked Sep 9, 2017 in Mathematical Logic by Injila (195 points) | 165 views

0 votes

1 answer

30

Probability
In the card game bridge, the 52 cards are dealt out equally to 4 players—called East, West, North, and South. If North and South have a total of 8 spades among them, what is the probability that East has 3 of the remaining 5 spades?

asked Aug 30, 2017 in Probability by Harish Karnam Active (1.3k points) | 216 views

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