probability mcq pdf Model Questions & Answers, Practice Test for ibps rrb so officer sclae 2 3 single exam 2024
ibps rrb so officer sclae 2 3 single exam 2024 SYLLABUS WISE SUBJECTS MCQs
Number System
Lcm & Hcf
Ratio & Proportion
Percentage
Time & Work
Mensuration
Advance Math
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Average
Profit & Loss
Alligation & Mixtures
Compound Interest
Linear Equations
Quadratic Equations
Probability
Permutations & Combination
4 gentlemen and 4 ladies take seats at random round a table. The probability that they are sitting alternately is
Answer: (d)
n(S) = 7!, n(E) = (3!) × (4!)
∴ P(E) = ${(3!) (4!)}/{7!} = 6/{7 × 6 × 5} = 1/15 = 1/35$
Suppose six coins are tossed simultaneously. Then the probability of getting at least one tail is
Answer: (b)
If six coins are tossed, then the total no. of outcomes
= $(2)^6 = 64$
Now, probability of getting no tail = $1/64$
Probability of getting at least one tail
= $1 - 1/64 = 63/64$
Two dice are thrown simultaneously. The probability of obtaining a total score of seven is
Answer: (c)
When two are thrown then there are 6 × 6 exhaustive cases
∴ n = 36.
Let A denote the event "total score of 7" when 2 dice are thrown then A = [(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)].
Thus there are 6 favourable cases.
∴ m = 6 By definition P(A) = $m/n$
∴P(A) = $6/36 = 1/6$
The probability that in the random arrangement of the letters of the word 'UNIVERSITY', the two I's does not come together is
Answer: (c)
Total no. of arrangements of the letters of the word UNIVERSITY is ${10!}/{2!}$.
No. of arrangements when both I's are together = 9!
So. the no. of ways in which 2 I's do not together
= ${10!}/{2!} = 9!$
∴ Required probability
= ${{{10!}/{2!}} - {9!}}/{{10!}/{2!}} = {10! - 9! 2!}/{10!}$
The probability of happening an event A in one trial is 0.4. The probability that the event A happens at least once in three independent trials is –
Answer: (d)
Here P(A) = 0.4 and $P(\ov{A})$ = 0.6
Probability that A does not happen at all = $(0.6)^3$
Thus required probability = 1 – $(0.6)^3$ = 0.784
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