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Recent questions tagged conditional-probability
2
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3
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1
GO Classes 2023 | IIITH Mock Test 3 | Question: 4
Assume $\text{P(A)}=0.2, \text{P(B)}=0.6, \text{P(A} \cup \text{B})=0.5$. Then $\text{P[A|B]}=$ $0.2$ $0.3$ $0.6$ $0.5$
GO Classes
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Probability
Apr 15
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GO Classes
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goclasses2023-iiith-mock-3
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conditional-probability
1-mark
3
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2
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GO Classes 2023 | IIITH Mock Test 3 | Question: 8
Suppose a test is $99 \%$ accurate and $1 \%$ of people have a disease. What is the probability that you have the disease given that you tested positive? $\frac{1}{2}$ $\frac{2}{3}$ $\frac{1}{4}$ $\frac{3}{4}$
GO Classes
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Probability
Apr 15
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GO Classes
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goclasses2023-iiith-mock-3
goclasses
probability
conditional-probability
1-mark
9
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2
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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? $\sum_{i=1}^k P\left(B_i\right)=1$ ... $\sum_{i=1}^k P\left(A \mid B_i\right)=1$ $\sum_{i=1}^k P\left(B_i \wedge A\right)=P(A)$
GO Classes
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Probability
Apr 12
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GO Classes
307
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goclasses2024_wq8
goclasses
probability
conditional-probability
multiple-selects
1-mark
8
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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
GO Classes
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Probability
Apr 12
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GO Classes
283
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goclasses2024_wq8
goclasses
probability
conditional-probability
1-mark
6
votes
3
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GO Classes 2024 | Weekly Quiz 8 | Conditional Probability | Question: 6
Which of the following(s) expression is/are same as $P(A, B, C)$ given no independent assumptions. $P(C \mid A, B) \cdot P(A, B)$ $P(C \mid A, B) \cdot P(A) \cdot P(B)$ $P(A \mid B) \cdot P(B \mid C) \cdot P(C)$ $P(A \mid B, C) \cdot P(B \mid C) \cdot P(C)$
GO Classes
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in
Probability
Apr 12
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GO Classes
193
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goclasses2024_wq8
goclasses
probability
conditional-probability
multiple-selects
1-mark
6
votes
4
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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? $P(E 1, E 2), P(H), P(E 1 \mid H), P(E 2 \mid H)$ $P(E 1, E 2), P(H), P(E 1, E 2 \mid H)$ $P(H), P(E 1 \mid H), P(E 2 \mid H)$ $P(H), P(E 1 \mid H)$
GO Classes
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Probability
Apr 12
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GO Classes
203
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goclasses2024_wq8
goclasses
probability
conditional-probability
multiple-selects
1-mark
5
votes
2
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GO Classes 2024 | Weekly Quiz 8 | Conditional Probability | Question: 9
Which of the following statements is NOT true? If $A \subset B$, then $P(A) \leq P(B)$. If $P(B)>0$, then $P(A \mid B) \geq P(A)$. $P(A \cap B) \geq P(A)+P(B)-1$. $P\left(A \cap B^c\right)=P(A \cup B)-P(B)$.
GO Classes
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in
Probability
Apr 12
by
GO Classes
214
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goclasses2024_wq8
goclasses
probability
conditional-probability
2-marks
10
votes
2
answers
8
GO Classes 2024 | Weekly Quiz 8 | Conditional Probability | Question: 10
I have two six-sided dice. The first die has $3$ faces painted red and the other $3$ painted black. The second has $1$ red face and $5$ black faces. When I roll a die, each of the six faces are equally likely. I choose a die at random ( ... given that the first roll came up $\text{ red"}$? $1 / 2$ $3 / 4$ $1 / 6$ $1 / 3$
GO Classes
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in
Probability
Apr 12
by
GO Classes
262
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goclasses2024_wq8
goclasses
probability
conditional-probability
2-marks
8
votes
1
answer
9
GO Classes 2024 | Weekly Quiz 8 | Conditional Probability | Question: 11
A drug-screening test is used in a group of professional baseball players of whom $4 \%$ actually use illegal drugs. It is found that the test indicates positive in $97 \%$ of those who use drugs and $2 \%$ of those who do ... chosen player in the group with positive test result actually uses drugs? $0.67$ $0.97$ $0.06$ $0.52$
GO Classes
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in
Probability
Apr 12
by
GO Classes
181
views
goclasses2024_wq8
goclasses
probability
conditional-probability
2-marks
5
votes
3
answers
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GO Classes 2024 | Weekly Quiz 8 | Conditional Probability | Question: 13
A box contains three coins: two regular coins and one fake two-headed coin $(P(H)=1),$ You pick a coin at random and toss it. What is the probability that it lands heads up? $1 / 2$ $2 / 3$ $4 / 5$ None of these
GO Classes
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Probability
Apr 12
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GO Classes
184
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goclasses2024_wq8
goclasses
probability
conditional-probability
2-marks
6
votes
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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 $P(A \mid P)?$ $2/3$ $1 / 3$ $1 / 2$ $3 / 4$
GO Classes
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in
Probability
Apr 12
by
GO Classes
279
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goclasses2024_wq8
goclasses
probability
conditional-probability
2-marks
8
votes
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A First Course In Probability, 9th Edition, Indian Version, Sheldon Ross, Chapter 3, Problems, 17.
The probability of 2 children to be twins is given as 2% and the probability of them being identical twins is 0.16%. If both genders are equally likely and identical twins always belong to the ... , then find the probability that the children are identical twins given that they are both twin boys.
Suraj Reddy
asked
in
Probability
Apr 8
by
Suraj Reddy
438
views
probability
sheldon-ross
conditional-probability
3
votes
1
answer
13
Conditional Probability
English and American spelling are rigour and rigor, respectively. A man staying at Al Rashid hotel writes this word, and a letter taken at random from his spelling is found to be a vowel. If 40 percent of the English-speaking men at the hotel are English and 60 percent are American, what is the probability that the writer is an Englishman?
LRU
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in
Probability
Nov 24, 2022
by
LRU
329
views
conditional-probability
probability
engineering-mathematics
3
votes
1
answer
14
TIFR CS & SS 2018 SS part Question 12
Suppose that Amitabh Bachchan has ten coins in his pocket. 3 coins have tails on both sides. 4 coins have heads on both sides. 3 coins have heads on one side and tails on the other and both the outcomes are equally likely when that coin is ... coins, flips it and finds that the outcome is tails. What is the probability that the other side of this coin is heads?
analyse
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in
Probability
Nov 22, 2022
by
analyse
223
views
probability
conditional-probability
0
votes
1
answer
15
A First Course In Probability, 9th Edition, Indian Version, Sheldon Ross, Chapter 3, Problems, 33.
The meteorology department predicts the rain correctly with a probability of 4/5. When rain is predicted Amit travels by his car. When rain is not forecasted, he travels with his car with a probability of ... a probability of 1/2. Find the probability that Amit does not travel by car given it rains.
jomboy
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in
Probability
Sep 10, 2022
by
jomboy
401
views
probability
sheldon-ross
conditional-probability
0
votes
1
answer
16
TIFR CSE 2022 | Part A | Question: 12
Alice plays the following game on a math show. There are $7$ boxes and identical prizes are hidden inside $3$ of the boxes. Alice is asked to choose a box where a prize might be. She chooses a box uniformly at random. From the unchosen boxes which do not have a prize, ... ). Her probability of winning the prize is $3 / 7$ $1 / 2$ $17 / 30$ $18 / 35$ $9 / 19$
Lakshman Bhaiya
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in
Probability
Sep 1, 2022
by
Lakshman Bhaiya
190
views
tifr2022
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conditional-probability
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