Math Chapter Wise

EnglishUP PGT 2021

Q161.A and B throw a dice. The probability that A's throw is greater than B's throw in numbers is–

A1/2 B5/6 C5/12 D7/12

Show answer

EnglishUP PGT 2021

Q162.The probabilities of winning a race by three racers P, Q, R are 1 1 1, and 3 4 5 respectively. The probability of none of them wins in the race is –

A1/5 B13/60 C2/5 DNone of the above

Show answer

EnglishUP PGT 2021

Q163.A five digit number is formed by digits 1, 2, 3, 4, 5 without repetition, the probability that the number formed is divisible by 4, is–

A1/4 B2/5 C3/5 D1/5

Show answer

EnglishUPPSC GIC 2021

Q164.If a coin is tossed three times, then the probability of getting at least one tail is-

A1/3 B1/8 C3/8 D7/8

Show answer

EnglishUPPSC GIC 2021

Q165.If A and B are two events such that P

A2/3 B1/4 C1/3 D1/2

Show answer

EnglishUPPSC GIC 2021 UPPSC Ashram Paddhati 2021 Haryana TGT 2020

Q166.What is the probability that a leap year, selected at random, will have 53 Sundays?

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

Show answer

EnglishUKPSC GIC 2018

Q167.The relationship between mean deviation(M.D.) and the standard deviation (S.D.) in the normal distribution, is approximately

A3 M.D. = 2 S.D. B5 M.D. = 4 S.D. C6 M.D. = 5 S.D. DM.D. = S.D.

Show answer

EnglishTGT 2009

Q168.If A and B are arbitrary events then,

AP(A∪B) ≥ P(A) + P(B) + 1 BP(A∪B) ≥ P(A) + P(B) –1 CP(A∪B) ≥ P(A) – P(B) – 1 DP(A∪B) ≥ P(A) – P(B) + 1

Show answer

EnglishTGT 2009

Q169.If P(A) = 0.65, P(B) = 0.15, then () () P A P B + will be equal to:

A1.2 B1.3 C1.4 D1.5

Show answer

EnglishTGT 2009

Q170.2 cards are drawn randomly from a new pack of 52 cards. Then what is the probability that one of the cards is a spade and the other is an ace?

A1/34 B8/221 C1/26 D2/51

Show answer

EnglishTGT 2009

Q171.A bag contains 3 black and 4 white balls. Two balls are drawn one after the other at random without replacement, then what is the probability that the ball drawn the second time is white?

A4/49 B1/7 C4/7 D12/49

Show answer

EnglishTGT 2005

Q172.There are 10 mangoes in a bag out of which 4 are rotten. If 2 mangoes are taken out from the bag together, what is the probability that both are good (Don't be rotten)?

A5/18 B8/15 C5/13 DNone of these

Show answer

EnglishTGT 2005

Q173.A contest consists of predicting the results win, draw or defeat of 7 football matches. If A is chosen at random, then what is the probability that he predicts 4 matches correctly?

A8/37 B16/37 C280/37 D560/37

Show answer

EnglishTGT 2005

Q174.If the probability of survival of A and B till the end of the year is p and q respectively, then what will be the probability of survival of one of them at the end of the year.

Ap + q Bp + q – 2pq Cp + q – pq Dp + q + pq

Show answer

EnglishTGT 2005

Q175.Probability of three mutually exclusive events A, B and C are 2/3, 1/4 and 1/6 respectively then statement:

Ais true Bis false Cnothing can be said DAnything can happen.

Show answer

EnglishTGT 2005

Q176.A cubical die is tossed 6 times. What is the probability that 2 and 4 will come three times each?

A5/11664 B1/46656 C1/5184 DNone of these

Show answer

EnglishTGT 2005

Q177.In a test, a coin is tossed three times and heads are obtained twice. If the same test is repeated three times, what will be the probability of not getting success?

A(7/8)3 B(1/8)3 C(5/8)3 DNone of these

Show answer

EnglishTGT 2004

Q178.If four whole numbers taken at random are multiplied together, then the chance that the last digit in the product is 1, 3, 7 or 9 is

A17/676 B16/625 C16/676 D17/625

Show answer

EnglishTGT 2010, 1999

Q179.If A and B are such events that P(A) > 0 and P(B)≠0, then A P B is equal to

A1 () () P A B P B − ∪ B() 1 () P A B P A ∪ − C1 A P B + DNone of these

Show answer

EnglishTGT 2010

Q180.For any two independent events E1, and E2, 1 2 P{(E) (E) (E) (E)} ∪ ∩ ∩ ∪ ∩ ∩ ∪ ∩ ∩ ∪ ∩ ∩ is

A1 4 ≥ B1 4 ≤ C1 4 > D1 4 <

Show answer