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Recent questions and answers in Probability

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1

What is the probability that a five-card poker hand contains the two of diamonds, the three of spades, the six of hearts, the ten of clubs, and the king of hearts?

venturekin answered in Probability 14 hours ago

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1 vote

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2

canvas
The weight of a light bulb has an average of 12.5 grs. with a standard deviation of 2. Assume the variable is normally distributed. If an inspector select randomly a sample of 30 bulbs ¿what is the probability of the weight of one bulb falls between 10 and 15 grs.?

Bharat Bhushan answered in Probability Mar 11

by Bharat Bhushan

96 views

3 votes

4 answers

3

The probability of solving a problem by three students X,Y,Z are 1/4,3/7and 2/9 respectively. if all of them try independently then the probability that the problem could not be solved is a)1/3 b)1/4 c)1/5 d) 2/5 e) 3/7

Bharat Bhushan answered in Probability Mar 10

by Bharat Bhushan

2.3k views

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2 answers

4

A fair coin is tossed 100 times. The Probability of getting 50 heads is close to one of the following numbers: a) 0.001 b)0.1 c)0.3 d)0.4

Bharat Bhushan answered in Probability Mar 10

by Bharat Bhushan

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5

The failure distribution is defined by f(t) = .0≤t≤1000 hr. (a) What is the probability of failure within 100hr warranty period? (b) Compute the MTTF.

Bharat Bhushan answered in Probability Mar 5

by Bharat Bhushan

100 views

1 vote

1 answer

6

GATE CSE 2023 | Question: 43
Consider a random experiment where two fair coins are tossed. Let $A$ be the event that denotes $\text{HEAD}$ on both the throws, $B$ be the event that denotes $\text{HEAD}$ on the first throw, and $C$ be the event that denotes $\text{HEAD}$ on the ... . $A$ and $C$ are independent. $B$ and $C$ are independent. $\operatorname{Prob}(B \mid C)=\operatorname{Prob}(B)$

speedflyer answered in Probability Mar 5

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7

Test series
A bag contains four balls. Two balls are drawn and found them to be white. The probability that all the balls are white is 1/2 3/5 1/4 4/6

[ Jiren ] asked in Probability Feb 20

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8

DRDO CSE 2022 Paper 1 | Question: 5 (b)
Consider rolling of a dice experiment. Let $\text{A}$ be the event of getting an even number and $\mathrm{B}$ be the event of getting a prime number. Write the sets representing the following events. $\mathrm{A}$ and $\mathrm{B}$

admin asked in Probability Jan 26

by admin

137 views

1 vote

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9

DRDO CSE 2022 Paper 1 | Question: 5 (c)
Consider rolling of a dice experiment. Let $\text{A}$ be the event of getting an even number and $\mathrm{B}$ be the event of getting a prime number. Write the sets representing the following events. not $\text{B}$

admin asked in Probability Jan 26

by admin

43 views

2 votes

1 answer

10

Variance of X in envelope question
Three letters are placed into three addressed envelopes randomly. A random variable X denotes the number of letters placed into corresponding envelopes. The variance of X is __________.

Johnny1001 answered in Probability Jan 15

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31 votes

4 answers

11

GATE CSE 1999 | Question: 1.1
Suppose that the expectation of a random variable $X$ is $5$. Which of the following statements is true? There is a sample point at which $X$ has the value $5$. There is a sample point at which $X$ has value greater than $5$. There is a sample point at which $X$ has a value greater than equal to $5$. None of the above.

ChayAdhiraj answered in Probability Jan 8

7.1k views

1 vote

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12

Made Easy Full Syllabus Test 3 Probability
can anyone verify if options are correct i am not satisfied with the solution given.

Raviwarlord asked in Probability Jan 4

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1 answer

13

Made Easy Mock -1
how to approach this question?

Kabir5454 answered in Probability Dec 30, 2022

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DRDO CSE 2022 Paper 1 | Question: 5 (a)
Consider rolling of a dice experiment. Let $\text{A}$ be the event of getting an even number and $\mathrm{B}$ be the event of getting a prime number. Write the sets representing the following events. $\mathrm{A}$ or $\mathrm{B}$

admin asked in Probability Dec 15, 2022

by admin

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15

DRDO CSE 2022 Paper 1 | Question: 7
Let $T$ be a subset of $\{1,2, \ldots, n\}$ of size $\frac{n}{2}$, sampled uniformly at random from all subsets of size $\frac{n}{2}$ of the same set $\{1,2, \ldots, n\}$. Let $S \subseteq\{1,2, \ldots, n\}$ be an arbitrary subset of size $\frac{n}{2}$. What is the probability that $|S \cap T|=\frac{n}{4}$.

admin asked in Probability Dec 15, 2022

by admin

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1 vote

1 answer

16

Probability Doubt
The expected number of times a 6 appears when a fair die is rolled 10 times is equal to?

Shoto answered in Probability Dec 10, 2022

by Shoto

224 views

1 vote

1 answer

17

Probability Distribution
Let X have a Poisson distribution with parameter λ = 1. What is the probability that X ≥ 2 given that X ≤ 4?

Sunnidhya Roy answered in Probability Nov 25, 2022

by Sunnidhya Roy

271 views

3 votes

1 answer

18

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?

DebRC answered in Probability Nov 25, 2022

by DebRC

243 views

2 votes

1 answer

19

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?

Shubhodeep answered in Probability Nov 22, 2022

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2 answers

20

TIFR CSE 2022 | Part A | Question: 2
We would like to invite a minimum number $n$ of people (their birthdays are independent of each other) to a party such that the expected number of pairs of people that share the same birthday is at least $1.$ What should $n$ be? (Ignore leap years, so ... birthdays fall with equal probability on each of the $365$ days of the year.) $23$ $28$ $92$ $183$ $366$

Kunalbag7 answered in Probability Nov 19, 2022

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21

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

299 views

4 votes

1 answer

22

TIFR CSE 2022 | Part A | Question: 5
Let $\mathcal{F}$ be the set of all functions mapping $\{1, \ldots, n\}$ to $\{1, \ldots, m\}$. Let $f$ be a function that is chosen uniformly at random from $\mathcal{F}$. Let $x, y$ be distinct elements from the set $\{1, \ldots, n\}$. Let $p$ denote the probability ... Then, $p=0$ $p=\frac{1}{n^m}$ $0<p \leq \frac{1}{m^n}$ $p=\frac{1}{m}$ $p=\frac{1}{n}$

Lakshman Patel RJIT asked in Probability Sep 1, 2022

by Lakshman Patel RJIT

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1 answer

23

TIFR CSE 2022 | Part A | Question: 7
Initially, $N$ white beads are arranged in a circle. A number $k$ is chosen uniformly at random from $\{1, \ldots, N-1\}$. Then a set of $k$ beads is chosen uniformly from the white beads, and these $k$ beads are coloured black. The position of the beads remains ... None of the above

Lakshman Patel RJIT asked in Probability Sep 1, 2022

by Lakshman Patel RJIT

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24

TIFR CSE 2022 | Part A | Question: 10
Consider a bag containing colored marbles. There are $n$ marbles in the bag such that there is exactly one pair of marbles of color $i$ for each $i \in\{1, \ldots, m\}$ and the rest of the marbles are of distinct colors (different from colors $\{1, \ldots, m\}$ ). You draw ... $\frac{2m}{n}$ $\frac{2m}{n(n-1)}$ $\frac{2m}{n^2}$ $\frac{m}{n(n-1)}$

Lakshman Patel RJIT asked in Probability Sep 1, 2022

by Lakshman Patel RJIT

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25

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 Patel RJIT asked in Probability Sep 1, 2022

by Lakshman Patel RJIT

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1 answer

26

TIFR CSE 2022 | Part A | Question: 15
Fix $n \geq 4$. Suppose there is a particle that moves randomly on the number line, but never leaves the set $\{1,2, \ldots, n\}$. The initial probability distribution of the particle is $\pi$ i.e., the probability that particle is in location $i$ is given by $\pi(i)$. In the ... $\pi(1)=1$ and $\pi(i)=0$ for $i \neq 1$ $\pi(n)=1$ and $\pi(i)=0$ for $i \neq n$

Lakshman Patel RJIT asked in Probability Sep 1, 2022

by Lakshman Patel RJIT

152 views

2 votes

2 answers

27

maths probability
A dice is tossed seven times. What is the probability that all six faces appear at least once?

jugnu1337 asked in Probability Aug 15, 2022

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1 answer

28

A First Course In Probability, 9th Edition, Indian Version, Sheldon Ross, Chapter 2, Problems, 18.
A deck consists of 52 playing cards which is well shuffled. Draw 6 cards. Find the probability that among the cards there will be a representative of all suits? can someone get to this answer –-→ 6283420/20358520

jomboy asked in Probability Jul 28, 2022

by jomboy

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29

maths
A deck of 5 cards (each carrying a distinct number from 1 to 5) is shuffled thoroughly. Two cards are then removed one at a time from the deck. What is the probability that the two cards are selected with the number on the first card being one higher than the number on the second card ? closed

jugnu1337 asked in Probability Jul 19, 2022

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1 answer

30

ISI Kolkata | MMA | 2022 --- A lie detector determines correctly ....
Picture of question

anupamsworld asked in Probability Jun 6, 2022

by anupamsworld

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0 answers

31

ISI2020-PCB-10
Let $X_i\sim (i.i.d) Bernoulli(\frac{\lambda}{n}),n\geq\lambda\geq 0$. $Y_i\sim (i.i.d) Poisson(\frac{\lambda}{n})$, $\{X_i\}$ and $\{Y_i\}$ are independent. Let $\sum_{i=1}^{n^2} X_i=T_n$ and $\sum_{i=1}^{n^2} Y_i=S_n$ (say). Find the limiting distribution of $\frac{T_n}{S_n}$ as $n\to \infty$.

sd4867 asked in Probability May 6, 2022

by sd4867

120 views

3 votes

1 answer

32

Gate 2002 Question with a change.
A box contains 10 screws, 3 of which are defective. Two screws are drawn at random with out replacement. The probability that none of the two screws is defective will be .. This is a same question from Gate 2002, but it is having a small change, can anyone help me to find method to find it's answer.

ProtonicRED asked in Probability Mar 8, 2022

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33

TIFR 2011
There are N boxes, each containing at most r balls. If the number of boxes containing at least i balls is $N_{i}$ for i = 1,2,...r, then the total number of balls contained in these N boxes (A) is exactly equal to $N_{1}$ +$N_{2}$ +...+$N_{r}$. (B) is strictly ... ...+$N_{r}$. (C) is strictly smaller than $N_{1}$ +$N_{2}$ +...+$N_{r}$. (D) cannot be determined from the given information

rsansiya111 asked in Probability Feb 24, 2022

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