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Search results for conditional-probability
85
votes
16
answers
1
GATE CSE 2012 | Question: 33
Suppose a fair six-sided die is rolled once. If the value on the die is $1, 2,$ or $3,$ the die is rolled a second time. What is the probability that the sum total of values that turn up is at least $6$ ? $\dfrac{10}{21}$ $\dfrac{5}{12}$ $\dfrac{2}{3}$ $\dfrac{1}{6}$
Suppose a fair six-sided die is rolled once. If the value on the die is $1, 2,$ or $3,$ the die is rolled a second time. What is the probability that the sum total of val...
gatecse
21.7k
views
gatecse
asked
Sep 26, 2014
Probability
gatecse-2012
probability
conditional-probability
normal
+
–
75
votes
11
answers
2
GATE CSE 2009 | Question: 21
An unbalanced dice (with $6$ faces, numbered from $1$ to $6$) is thrown. The probability that the face value is odd is $90\%$ of the probability that the face value is even. The probability of getting any even numbered face is the same. If the ... following options is closest to the probability that the face value exceeds $3$? $0.453$ $0.468$ $0.485$ $0.492$
An unbalanced dice (with $6$ faces, numbered from $1$ to $6$) is thrown. The probability that the face value is odd is $90\%$ of the probability that the face value is ev...
gatecse
16.2k
views
gatecse
asked
Sep 15, 2014
Probability
gatecse-2009
probability
normal
conditional-probability
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40
votes
4
answers
3
GATE CSE 2018 | Question: 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, $P(M_G)$ ... , then the probability (correct to two decimal places) that Guwahati has high temperature given that Delhi has high temperature is ________.
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...
gatecse
13.6k
views
gatecse
asked
Feb 14, 2018
Probability
gatecse-2018
probability
conditional-probability
numerical-answers
2-marks
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63
votes
6
answers
4
GATE CSE 2017 Set 2 | Question: 26
$P$ and $Q$ are considering to apply for a job. The probability that $P$ applies for the 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 ... $\left(\dfrac{5}{6}\right)$ $\left(\dfrac{7}{8}\right)$ $\left(\dfrac{11}{12}\right)$
$P$ and $Q$ are considering to apply for a job. The probability that $P$ applies for the job is $\dfrac{1}{4},$ the probability that $P$ applies for the job given that $Q...
Arjun
12.3k
views
Arjun
asked
Feb 14, 2017
Probability
gatecse-2017-set2
probability
conditional-probability
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35
votes
6
answers
5
GATE CSE 1994 | Question: 1.4, ISRO2017-2
Let $A$ and $B$ be any two arbitrary events, then, which one of the following is TRUE? $P (A \cap B) = P(A)P(B)$ $P (A \cup B) = P(A)+P(B)$ $P (A \mid B) = P(A \cap B)P(B)$ $P (A \cup B) \leq P(A) + P(B)$
Let $A$ and $B$ be any two arbitrary events, then, which one of the following is TRUE?$P (A \cap B) = P(A)P(B)$$P (A \cup B) = P(A)+P(B)$$P (A \mid B) = P(A \cap B)P(B)$$...
Kathleen
13.8k
views
Kathleen
asked
Oct 4, 2014
Probability
gate1994
probability
conditional-probability
normal
isro2017
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42
votes
10
answers
6
GATE CSE 2003 | Question: 3
Let $P(E)$ denote the probability of the event $E$. Given $P(A) = 1$, $P(B) =\dfrac{1}{2}$, the values of $P(A\mid B)$ and $P(B\mid A)$ respectively are $\left(\dfrac{1}{4}\right),\left(\dfrac{1}{2}\right)$ $\left(\dfrac{1}{2}\right),\left(\dfrac{1}{4}\right)$ $\left(\dfrac{1}{2}\right),{1}$ ${1},\left(\dfrac{1}{2}\right)$
Let $P(E)$ denote the probability of the event $E$. Given $P(A) = 1$, $P(B) =\dfrac{1}{2}$, the values of $P(A\mid B)$ and $P(B\mid A)$ respectively are$\left(\dfrac{1}{4...
Kathleen
11.6k
views
Kathleen
asked
Sep 16, 2014
Probability
gatecse-2003
probability
easy
conditional-probability
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46
votes
10
answers
7
GATE CSE 2016 Set 2 | Question: 05
Suppose that a shop has an equal number of LED bulbs of two different types. The probability of an LED bulb lasting more than $100$ hours given that it is of Type $1$ is $0.7$, and given that it is of Type $2$ is $0.4$. The probability that an LED bulb chosen uniformly at random lasts more than $100$ hours is _________.
Suppose that a shop has an equal number of LED bulbs of two different types. The probability of an LED bulb lasting more than $100$ hours given that it is of Type $1$ is ...
Akash Kanase
9.4k
views
Akash Kanase
asked
Feb 12, 2016
Probability
gatecse-2016-set2
probability
conditional-probability
normal
numerical-answers
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1
votes
2
answers
8
Memory Based GATE DA 2024 | Question: 13
A fair six-sided die is thrown repeatedly. Find the expected number of throws until two consecutive throws show even numbers.
A fair six-sided die is thrown repeatedly. Find the expected number of throws until two consecutive throws show even numbers.
GO Classes
477
views
GO Classes
asked
Feb 4
Probability
gate2024-da-memory-based
goclasses
probability
conditional-probability
numerical-answers
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–
4
votes
1
answer
9
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 44
Football teams $T_1$ and $T_2$ play two games against each other in the Premier League. It is assumed that the outcomes of the two games are independent of each other. The probabilities of $T_1$ winning, drawing and losing against $T_2$ ... What will be the value of $P(X=Y)?$ $1 / 3$ $13 / 36$ $1 / 36$ $1 / 18$
Football teams $T_1$ and $T_2$ play two games against each other in the Premier League. It is assumed that the outcomes of the two games are independent of each other. Th...
GO Classes
434
views
GO Classes
asked
Jan 28
Probability
goclasses2024-mockgate-13
goclasses
probability
conditional-probability
2-marks
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–
2
votes
2
answers
10
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 21
Suppose we have events $A, B$ in a sample space. And we know that $\mathrm{P}(\mathrm{A})=0.3, \mathrm{P}\left(\mathrm{B} \mid \mathrm{A}^c\right)=0.25, \mathrm{P}(\mathrm{B} \mid \mathrm{A})=0.45$. What is $\mathrm{P}\left(\mathrm{A}^c \mid \mathrm{B}\right) ?$ 0.75 0.55 0.2 0.56
Suppose we have events $A, B$ in a sample space. And we know that $\mathrm{P}(\mathrm{A})=0.3, \mathrm{P}\left(\mathrm{B} \mid \mathrm{A}^c\right)=0.25, \mathrm{P}(\mathr...
GO Classes
461
views
GO Classes
asked
Feb 5
Probability
goclasses2024-mockgate-14
probability
conditional-probability
1-mark
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4
votes
1
answer
11
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 29
You have three coins in your pocket, two fair ones but the third biased with the probability of heads $p$ and tails $1-p$. One coin selected at random drops to the floor, landing heads up. How likely is it that it is one of the fair coins? $1 / \mathrm{p}$ $1 /(1+p)$ $p /(1+p)$ $(1+p) / p$
You have three coins in your pocket, two fair ones but the third biased with the probability of heads $p$ and tails $1-p$. One coin selected at random drops to the floor,...
GO Classes
434
views
GO Classes
asked
Jan 13
Probability
goclasses2024-mockgate-11
goclasses
probability
conditional-probability
1-mark
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0
votes
1
answer
12
Memory Based GATE DA 2024 | Question: 14
Consider two events $\mathrm{T}$ and $\mathrm{S}$. Let $\overline{\mathrm{T}}$ denote the complement of event $\mathrm{T}$. The probabilities associated with different events are given as follows: $\mathrm{P}({\mathrm{T}})=0.4$ ... $\mathrm{P}(\mathrm{T}|\mathrm{S})$.
Consider two events $\mathrm{T}$ and $\mathrm{S}$. Let $\overline{\mathrm{T}}$ denote the complement of event $\mathrm{T}$. The probabilities associated with different ev...
GO Classes
180
views
GO Classes
asked
Feb 4
Probability
gate2024-da-memory-based
goclasses
probability
conditional-probability
numerical-answers
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0
votes
0
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13
Memory Based GATE DA 2024 | Question: 35
Conditional probability \[ \begin{aligned} & \mathrm{P}(\mathrm{U}, \mathrm{V}, \mathrm{W}, \mathrm{X}, \mathrm{Y}) & = \mathrm{P}(\mathrm{U}) \cdot \mathrm{P}(\mathrm{V}) \cdot \mathrm{P}(\mathrm{W} / \mathrm{U}, \mathrm{V}) \cdot \mathrm{P}(\mathrm{X} / \mathrm{W}) \cdot \mathrm{P}(\mathrm{Y} / \mathrm{W}) \end{aligned} \]
Conditional probability\[\begin{aligned} & \mathrm{P}(\mathrm{U}, \mathrm{V}, \mathrm{W}, \mathrm{X}, \mathrm{Y}) & = \mathrm{P}(\mathrm{U}) \cdot \mathrm{P...
GO Classes
130
views
GO Classes
asked
Feb 4
Probability
gate2024-da-memory-based
goclasses
probability
conditional-probability
+
–
10
votes
4
answers
14
GO Classes 2024 | Weekly Quiz 8 | Conditional Probability | Question: 14
Consider a three level tree diagram of events happening in a sequence. At first level $A, B$ or $C$ events are possible, at second level $D, E$ or $F$ are possible and at third level $P$ or $Q$ ... third level are $1/2.$ Find $P(A \mid P)?$ $2/3$ $1 / 3$ $1 / 2$ $3 / 4$
Consider a three level tree diagram of events happening in a sequence.At first level $A, B$ or $C$ events are possible, at second level $D, E$ or $F$ are possible and at ...
GO Classes
767
views
GO Classes
asked
Apr 12, 2023
Probability
goclasses2024_wq8
goclasses
probability
conditional-probability
2-marks
+
–
12
votes
2
answers
15
GO Classes 2024 | Weekly Quiz 8 | Conditional Probability | Question: 4
$A$ and $B$ are two events. If $P(A, B)$ decreases while $P(A)$ increases, what must be true: $P(A \mid B)$ decreases $P(B \mid A)$ decreases $P(B)$ decreases All of above
$A$ and $B$ are two events. If $P(A, B)$ decreases while $P(A)$ increases, what must be true:$P(A \mid B)$ decreases$P(B \mid A)$ decreases$P(B)$ decreasesAll of above
GO Classes
1.2k
views
GO Classes
asked
Apr 12, 2023
Probability
goclasses2024_wq8
goclasses
probability
conditional-probability
1-mark
+
–
12
votes
4
answers
16
GO Classes 2024 | Weekly Quiz 8 | Conditional Probability | Question: 7
Suppose we wish to calculate $P(H \mid E 1, E 2),$ and we have no conditional independence information. Which of the following sets of numbers are sufficient for the calculations? $P(E 1, E 2), P(H), P(E 1 \mid H), P(E 2 \mid H)$ $P(E 1, E 2), P(H), P(E 1, E 2 \mid H)$ $P(H), P(E 1 \mid H), P(E 2 \mid H)$ $P(H), P(E 1 \mid H)$
Suppose we wish to calculate $P(H \mid E 1, E 2),$ and we have no conditional independence information.Which of the following sets of numbers are sufficient for the calcu...
GO Classes
622
views
GO Classes
asked
Apr 12, 2023
Probability
goclasses2024_wq8
goclasses
probability
conditional-probability
multiple-selects
1-mark
+
–
14
votes
2
answers
17
GO Classes 2024 | Weekly Quiz 8 | Conditional Probability | Question: 3
Suppose that $k$ events $B_1, B_2, \ldots, B_k$ form a partition of the sample space $S$. There is another event $A$ that $\operatorname{Pr}(A)>0.$ Which of the following is/are CORRECT? $\sum_{i=1}^k P\left(B_i\right)=1$ ... $\sum_{i=1}^k P\left(A \mid B_i\right)=1$ $\sum_{i=1}^k P\left(B_i \wedge A\right)=P(A)$
Suppose that $k$ events $B_1, B_2, \ldots, B_k$ form a partition of the sample space $S$. There is another event $A$ that $\operatorname{Pr}(A)>0.$Which of the following ...
GO Classes
1.0k
views
GO Classes
asked
Apr 12, 2023
Probability
goclasses2024_wq8
goclasses
probability
conditional-probability
multiple-selects
1-mark
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