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Q: Two events `Aa n dB` have probabilities 0.25 and 0050, respectively. The probability that both `Aa n dB` occur simultaneously is 0.14. then the probab

Two events AandB have probabilities 0.25 and 0050, respectively. The probability that both AandB occur simultaneously is ... of these Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: For two given events A and B,`P(A cup B)` is

For two given events A and B,P(A∪B) is A. not less than P(A)+P(B)-1 B. not greater than P(A)+P(B) C. equal to ... P(A)+P(B)+P(A cup B) Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: If M and N are any two events, then the probability that exactly one of them occurs is

If M and N are any two events, then the probability that exactly one of them occurs is A. `P(M)+P(N)-2P(M cap N)` B. C. D. Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Three numbers are chosen at random without replacement from {1,2,3,....10}. The probability that the minimum of the chosen number is 3 or their maximu

Three numbers are chosen at random without replacement from {1,2,3,....10}. The probability that the minimum of the ... is 7 , is: Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: P(A cup B)=P(A cap B)` if and only if the relation between P(A) and P(B) is …………

P(A cup B)=P(A cap B)` if and only if the relation between P(A) and P(B) is ………… Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails, is (A) 0.38 (B) 0.44 (

If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A ... 0.50 (D) 0.94 Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: In a certain city only two newspapers A and B are published, it is known that `25%` of the city population reads A and `20%` reads B, while `8%` reads

In a certain city only two newspapers A and B are published, it is known that `25%` of the city population ... an advertisement? [1984] Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: A,B,C are events such that `P_(r )(A)=0.3, P_(r )(B)=0.4,P_(r )(C )=0.8` `P_(r ) (AB)=0.08, P_(r )(AC )=0.28` and `P_(r )(B)=0.4, P_(r )(C )=0.8` If `

A,B,C are events such that `P_(r )(A)=0.3, P_(r )(B)=0.4,P_(r )(C )=0.8` `P_(r ) (AB)=0.08, ... )` lies in the interval [0.23,0.48]. Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: A and B are two candidates seeking admission in IIT. The probability that A is selected is 0.5 and the probability that A selected is 0.6 and the prob

A and B are two candidates seeking admission in IIT. The probability that A is selected is 0.5 and the probability ... is 0.9 ? Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: There are five students `S_(1),S_(2),S_(3),S_(4)` and `R_(5)` arranged in a row, where initially the seat `R_(1)`is allotted to the students are rando

There are five students S1,S2,S3,S4 and R5 arranged in a row, where initially the seat R1is allotted to the students are ... . (1)/(5)` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: There are five students `S_(1),S_(2),S_(3),S_(4)` and `R_(5)` arranged in a row, where initially the seat `R_(1)`is allotted to the students are rando

There are five students `S_(1),S_(2),S_(3),S_(4)` and `R_(5)` arranged in a row, where initially the seat `R_(1) ... (60)` D. `(1)/(6)` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional probability that all

Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the ... . `(1)/(11)` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Four persons can hit a target correctly with probabilities `(1)/(2),(1)/(3),(1)/(4)` and `(1)/(8)` respectively. If all hit at the target would be hit

Four persons can hit a target correctly with probabilities `(1)/(2),(1)/(3),(1)/(4)` and `(1)/(8)` respectively. ... )` D. `(25)/(192)` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Two integers are selected at random from the set {1,2,…………..,11}. Given that the sum of selected numbers is even, the conditional probability that bot

Two integers are selected at random from the set {1,2, ..,11}. Given that the sum of selected numbers is even, the ... D. `(3)/(5)` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Let two fair six-faced dice A and B be thrown simultaneously. If `E_1` is the event that die A shows up four, `E_2` is the event that die B shows up t

Let two fair six-faced dice A and B be thrown simultaneously. If `E_1` is the event that die A shows up ... `E_(3)` are independent Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Let A and B be two events such that ,P(A cap B)=(1)/(4)` and `Poverset(-)(A)=(1)/(4)`, where `overset(-)A` stands for the complement of the event A. T

Let A and B be two events such that ,P(A cap B)=(1)/(4)` and `Poverset(-)(A)=(1)/(4) ... D. equally likely but not independent Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Four person independently solve a certain problem correctly with probabilities `1/2,3/4,1/4,1/8dot` Then the probability that he problem is solve corr

Four person independently solve a certain problem correctly with probabilities 1 2 , 3 4 , 1 4 , 1 8 . Then the ... 3 256 D. 253 256 Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of 4 outcomes, the number of outcom

An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of ... 8 D. 5 or 10 Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: One Indian and four American men and their wives are to be seated randomly around a circular table. Then the conditional probability that the Indian m

One Indian and four American men and their wives are to be seated randomly around a circular table. Then the conditional ... 5 D. 1 5 Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: A dice is thrown. The probability that the first time 1 occurs at the even throw is

A dice is thrown. The probability that the first time 1 occurs at the even throw is A. `1//6` B. `5//11` C. `6//11` D. `5//36` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: There are four machines and it is known that eactly two of them are faulty. They are tested, one by one, in a random order till both the faulty machin

There are four machines and it is known that eactly two of them are faulty. They are tested, one by one, in a random ... D. `(1)/(4)` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: A fair coin is tossed repeatedly. If tail appears on first four tosses, them the probability of head appearing on fifth toss equals is

A fair coin is tossed repeatedly. If tail appears on first four tosses, them the probability of head appearing on fifth ... (1)/(5)` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: If from each of the three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls, one ball is drawn at random, then the

If from each of the three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls, one ... D. `(3)/(16)` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: An unbiased die with faced marked 1, 2, 3, 4, 5, and 6 is rolled four times. Out of four face value obtained, the probability that the minimum face va

An unbiased die with faced marked 1, 2, 3, 4, 5, and 6 is rolled four times. Out of four face value obtained, the ... /81` D. `65//81` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: A student appears for tests I, II and III. The student is successful if the passes either in tests I and II or tests I and III. The probabilities of t

A student appears for tests I, II and III. The student is successful if the passes either in tests I and II or tests I ... 1,q=(1)/(2)` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: 23. A and B are two independent events such that `P(A) = 1/2 and P(B)=1/3`. Then P (neither A nor B) is equal to

23. A and B are two independent events such that `P(A) = 1/2 and P(B)=1/3`. Then P (neither A nor B) is ... ))/(P(overset(" "-)B))` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: The probability that an event A happens in one trial of an experiment, is 0.4 There independent trials of the experiments are performed. The probabili

The probability that an event A happens in one trial of an experiment, is 0.4 There independent trials of the ... D. None of these Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: If X and Y are two events such that `PX//Y)=(1)/(2), P(Y//X)=(1)/(3)` and `P(XcapY)(1)/(6)`. Then, which of the following is/are correct ?

If X and Y are two events such that `PX//Y)=(1)/(2), P(Y//X)=(1)/(3)` and `P(XcapY)(1)/(6)`. Then, ... D. `P(X^(c )capY)=1//3` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Let `Ea n dF` be tow independent events. The probability that exactly one of them occurs is 11/25 and the probability if none of them occurring is 2/2

Let `Ea n dF` be tow independent events. The probability that exactly one of them occurs is 11/25 and the probability if ... )=(4)/(5)` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: If `barE` and `barF` are the complementary events of E and F respectively and if `0 < P(F)<1`, then

If ˉ E and ˉ F are the complementary events of E and F respectively and if 0...

asked Nov 13, 2021 in Education by JackTerrance