Math Chapter Wise

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q221.From a group of 5 boys and 3 girls, three persons are chosen at random. Find the probability that there are more girls than boys–

A2/7 B5/8 C4/7 D3/8

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q222.A box contains 100 bulbs, out of which 10 are defective. A sample of 5 bulbs is drawn. The probability that none is defective is–

A9/10 B5 1 10 C5 9 10 D5 1 2

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EnglishTGT 2001

Q223.A person draws a card from a deck of cards and puts it back in the deck. He continues doing this process until be gets a spades card. If he fails to draw spades the first two times, what will be the probability that he will draw spades the third time?

A9/64 B1/64 C1/16 D9/16

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q224.A five digit number is formed by using the digits 1,2,3,4,5 is a random order without repetitions. Then the probability that the number is divisible by 4 is–

A3/5 B18/5 C1/5 D6/5

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EnglishDSSSB PGT/TGT (SECTION-B) 28 DEC 2014 UPTGT 2004

Q225.A coin is tossed 3 times. The probability of getting head and tail alternatively is–

A1/4 B1/8 C1/2 D3/8

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EnglishKVS PGT 23-12-2018

Q226.If the integers m and n are chosen at random from the numbers between 1 and 100, then probability that a number of the form (7m +7n) is divisible by 5 is:

A1/4 B1/7 C1/8 D1/49

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EnglishKVS PGT 23-12-2018

Q227.The mean and variance of a random variable having binomial probability distribution are 4 and 2 respectively, then P(X=1) is:

A1/32 B1/16 C1/8 D1/4

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q228.There are three rooms I, II and III in a game. Room I contains 2 boxes containing gift items and 3 empty boxes. Room II contains 3 boxes containing gift items and 2 empty boxes, and room III contains 4 boxes containing gift items and 1 empty box. Each room chosen by a player has equal probability. Mr. John selects one box from a randomly selected room. What is the probability that Mr. John wins a box containing gift items?

A4/5 B2/5 C1/5 D3/5

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q229.If X is a random variable that takes any value xi, i≥1 with the corresponding probability P(xi) and E[X] denotes the expected value of X, then E[ax2 +bx+c] is-

A() i i i x p x ∑ B() () () () { } 2 i i i i i a x p x b x p x c + + ∑ C() 2 i i i x p x ∑ D() () 2 i i i i ax bx c p x + + ∑

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EnglishLT 2018

Q230.If ((())) ((()) 7 8 P A,P B 15 15 = and ((()) 11 P A B, 15 ∩ = then P(A/B) is

A3/8 B11/8 C7/8 D5/8

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EnglishLT 2018

Q231.A coin is thrown 6 times. The probability of getting exactly four heads is

A1/4 B3/4 C5/16 D15/64

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EnglishLT 2018

Q232.A bag contains 8 red and 5 white balls. Three balls are drawn at random. The probability that one ball is red and two balls are white, is

A40/143 B80/146 C10/296 D5/286

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q233.A bag contains 6 red and 4 green balls. A ball is drawn at random from the bag. Find the probability that it is either a red ball or a green ball.

A1 B3 C1/2 D5

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q234.Seven persons are to be seated in a row. The probability that two particular persons sit next to each other is–

A1/3 B1/6 C2/7 D1/2

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q235.For any event E, if P(E) = 0.999, find the value of P(not E).

A0.1 B0.01 C0.001 DNone of these

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EnglishUPPSC Ashram Paddhati 2021

Q236.The probability of getting more than 15 in one throw with 3 dice is

A5/108 B21/216 C1/24 D1/27

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EnglishUPPSC Ashram Paddhati 2021

Q237.What is the probability that a leap year, selected at random, will have 53 Tuesday?

A3/7 B5/7 C2/7 D4/7

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q238.If X is a random variable with mean µ, then the variance of X is denoted by Var (x):

AVar (X) = Σ[X-µ] BVar (X) = Σ [(X-µ)2 ] CVar (X) = Σ [X2 ] – µ DVar (X) = Σ [X] – µ2

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EnglishNVS PGT 10-06-2019

Q239.Suppose a random variable X follows a binomial distribution with parameters n=6 and p. If 9P(x=4)=P(x=2), then the value of p is:

A1/3 B1 C1/2 D1/4

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EnglishTGT 2009

Q240.There are 80 students in a class in a school, out of which 50 students study mathematics, 40 study statistics and 10 study both the subjects. One student is chosen at random from them. What will be the probability that the student is statistic's student?

A1/8 B1/5 C1/3 D1/10

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