Dark Mode

Recent questions tagged conditional-probability

2 votes

3 answers

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 asked in Probability Apr 15

192 views

3 votes

2 answers

2

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 asked in Probability Apr 15

232 views

9 votes

2 answers

3

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 asked in Probability Apr 12

307 views

8 votes

2 answers

4

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 asked in Probability Apr 12

283 views

6 votes

3 answers

5

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 asked in Probability Apr 12

193 views

6 votes

4 answers

6

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 asked in Probability Apr 12

203 views

5 votes

2 answers

7

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 asked in Probability Apr 12

214 views

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 asked in Probability Apr 12

262 views

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 asked in Probability Apr 12

181 views

5 votes

3 answers

10

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 asked in Probability Apr 12

184 views

6 votes

4 answers

11

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 asked in Probability Apr 12

279 views

8 votes

2 answers

12

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

438 views

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 asked in Probability Nov 24, 2022

by LRU

329 views

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 asked in Probability Nov 22, 2022

223 views

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 asked in Probability Sep 10, 2022

by jomboy

401 views

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 asked in Probability Sep 1, 2022

by Lakshman Bhaiya

190 views

Page:

1
2
3
4
5
6
next »

Recent questions tagged conditional-probability