Q221. If ((())) ((()) 7 8 P A,P B 15 15 = and ((()) 11 P A B, 15 ∩ = then P(A/B) is
A 3/8
B 11/8
C 7/8
D 5/8
Show answer
Correct answer: 11/8
Q222. A coin is thrown 6 times. The probability of getting exactly four heads is
A 1/4
B 3/4
C 5/16
D 15/64
Show answer
Correct answer: 15/64
Q223. 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
A 40/143
B 80/146
C 10/296
D 5/286
Show answer
Correct answer: 40/143
English DSSSB TGT (SECTION-B) 28 DEC 2014
Q224. 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.
A 1
B 3
C 1/2
D 5
Show answer
Correct answer: 1
English DSSSB TGT (SECTION-B) 28 DEC 2014
Q225. Seven persons are to be seated in a row. The probability that two particular persons sit next to each other is–
A 1/3
B 1/6
C 2/7
D 1/2
Show answer
Correct answer: 2/7
English DSSSB TGT (SECTION-B) 28 DEC 2014
Q226. For any event E, if P(E) = 0.999, find the value of P(not E).
A 0.1
B 0.01
C 0.001
D None of these
Show answer
Correct answer: 0.001
English UPPSC Ashram Paddhati 2021
Q227. The probability of getting more than 15 in one throw with 3 dice is
A 5/108
B 21/216
C 1/24
D 1/27
Show answer
Correct answer: 5/108
English UPPSC Ashram Paddhati 2021
Q228. What is the probability that a leap year, selected at random, will have 53 Tuesday?
A 3/7
B 5/7
C 2/7
D 4/7
Show answer
Correct answer: 2/7
English DSSSB 23 SEP 2018 (9 AM-11 AM)
Q229. If X is a random variable with mean µ, then the variance of X is denoted by Var (x):
A Var (X) = Σ[X-µ]
B Var (X) = Σ [(X-µ)2 ]
C Var (X) = Σ [X2 ] – µ
D Var (X) = Σ [X] – µ2
Show answer
Correct answer: Var (X) = Σ [(X-µ)2 ]
English NVS PGT 10-06-2019
Q230. 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:
A 1/3
B 1
C 1/2
D 1/4
Show answer
Correct answer: 1/4
Q231. 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?
A 1/8
B 1/5
C 1/3
D 1/10
Show answer
Correct answer: 1/5
Q232. A and B are two independent sets then P(Ac ∩ ∩B) is equal to -
A P(A) P(B)
B P(Ac/) P(B)
C P(A) P(Bc/)
D None of these
Show answer
Correct answer: P(Ac/) P(B)
Q233. If A and B are two events for which (()) 5 6 ∪ = P A B, ((())) ((()) 1 1, 3 2 ∩ = ∩ = ∩ = ∩ = P A B P B. Then, P(A) will be-
A 1/3
B 2/3
C −1/3
D 1/6
Show answer
Correct answer: 2/3
English KVS PGT 23-12-2018
Q234. Matrices of order 3× × ×3 are formed by using the elements of the set A={–3, –2, –1, 0, 1, 2, 3}, then probability that matrix is either symmetric or skew symmetric is-
A 6 3 1 1 7 7 +
B 9 3 6 1 1 1 7 7 7 + −
C 3 9 1 1 7 7 +
D 3 6 9 1 1 1 7 7 7 + −
Show answer
Correct answer: 3 6 9 1 1 1 7 7 7 + −
Q235. The variance of the Binomial distribution (p + q)n is
A npq
B np
C nq
D np2
Show answer
Correct answer: npq
Q236. The following data gives the number of years of service of 15 employees in a manufacturing company: 5, 9, 7, 6, 24, 11, 4, 13, 10, 9, 20, 8, 19, 17, 25 The range of above data is
A 18
B 19
C 20
D 21
Show answer
Correct answer: 21
Q237. Which of the following is the best measure of dispersion?
A Range
B Mean deviation
C Standard deviation
D Co-efficient of variation
Show answer
Correct answer: Standard deviation
Q238. The mean of binomial distribution is:
A npq
B np
C npq
D np
Show answer
Correct answer: np
Q239. The empirical relation between mean, median and mode is:
A Mean – Median = 3 (Mean – Mode)
B Mean – Mode = 2 (Mean – Median)
C Mean – Median = 2 (Mode – Mean)
D Mean – Mode = 3 (Mean – Median)
Show answer
Correct answer: Mean – Mode = 3 (Mean – Median)
Q240. The difference between upper and lower limit of a class-interval is called:
A Frequency
B Cumulative frequency
C Class – size
D Mid – point
Show answer
Correct answer: Class – size