Pnc Probability Handout Worksheet - Cet King Page 2
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2PnC Probability Handout
NUMBERS
11. How many five-digit numbers can be formed using the digits 2, 3, 8, 7, 5 exactly once such that the number is
divisible by 125? a. 0
b. 1
c. 4
d. 3
12. How many 5 digit numbers can be formed from 1, 2, 3, 4, 5, without repetition, when the digit at the unit’s
place must be greater than that in the ten’s place?
a. 54
b. 60
c. 17
d. 2 ×4!
13. Let n be the number of different five-digit numbers, divisible by 4 with the digits 1, 2, 3, 4, 5 and 6, no digit
being repeated in the numbers. What is the value of n? a. 144 b. 168 c. 192 d. None of these
14. Let S be a set of positive integers such that every element n of S satisfies… (Range based Numbers)
I. 1000 ≤ n ≤ 1200
II. every digit in n is odd. Then how many elements of S are divisible by 3? (1) 9 (2) 10 (3) 11 (4) 12
BAGS
A bag contains 3 white and 2 black balls. Another bag contains 2 white and 4 black balls.
15. One ball is taken from first bag and dropped in second bag. Find the probability that a ball selected from bag 2
will be white ball?
16. Two balls is taken from first bag and dropped in second bag. Find the probability that a ball selected from bag
2 will be white ball?
DICES
17. Six dice are thrown, the probability that different number will turn up is:
(a)129/1296
(b)1/54
(c)5/324
(d)5/54
COINS
18. A and B toss a fair coin each simultaneously 50 times. The probability that both of them will not get tail at the
50
50
50
50
same toss is: (a)(3/4)
(b)(2/7)
(c)(1/8)
(d)(7/8)
Matches
19. In a given race the odds in favour of four horses A, B, C, D are 1:3, 1:4, 1:5, 1:6 respectively. Assuming that, a
dead heat is impossible, find the chance that one of them wins the race.
(a)76%
(b)88%
(c)45%
(d)63%
20.
The probability that a person will hit a target in shooting practice is 0.3. If he shoots 10 times, then the
10
10
10
probability of his shooting the target is
a) 1
b) 1–(0.7)
c) (0.7)
d) (0.3)
21. A speaks truth in 60% of the cases while B speaks truth in 70% of the cases. When they lie they say the same
lie. In what percent cases are they likely to contradict each other? A) 30%B) 40%C) 46%D) 54%
22. Probability that a machine is not defective is 1/5. then probability that out of 5 machines, 4 are defective is ?
2
4
4
a)5C4(4/5)
(1/5) b)(4/5)
(1/5)
c)5C4 (4/5)
(1/5) d)None
PnC Based
23. I forgot the last digit of a 7 digit telephone number. If I randomly dial the final 3 digits after correctly dialling
the first four, then what is the chance of dialling the correct number?
a)1/1001
b)1/1000
c)1/999
d)1/990
24. Seven people seat themselves at a round table. The probability that two distinguished persons will be next to
each other is?
a)1/3
b)1/2
c)1/4
d)2/3
25. Twenty cards are there in a box. 5 of them contain I printed on them, 15 of the remaining have M printed on
them. Three cards are drawn at random. Find the probability word IIM is formed?
a)1/32
b)3/64
c)1/64
d)3/32
e)None of these
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