1 . A box contains 5 pink , 3 green and 2 yellow balls, Three balls are picked up randomly. What is the probability that none of the ball drawn is green

A. 3/4
B. 2/8
C. 4/3
D. 2/3

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Answer: Option D

Explanation:

5 টি pimk, 3 টি green ও 2 টি yellow সহ মোট বলের সংখ্যা 10 টি।

নির্বিআারে 3 টি বল তোলা বলটি green না হওয়ার সম্ভাবনা = (5 + 2) C3 / 10C3 = 7C3/10 C3

= ( 7! / 3! 4!) / ( 10! / 3! 7!)

= 7!/ 3! 4! × 3! 7!/10!

= 7 × 6 × 5 / 10 × 9 × 8

= 7/24

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2 . Ina zoo , each pigeon has 2 legs, and each rabbit has 4 legs. The head count of the two species together is 12 , and the leg count is 32. How many pigeons and how main rabbits are there in the zoo ?

A. 6 & 3
B. 5 &10
C. 8 & 4
D. 6 & 8
E. None of them

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Answer: Option C

Explanation:

A/Q,
x + y = 12
or, 2x + 2y = 24 ....................... (1)
2x + 4y = 32 ............................ (2)
(2) - (1) we get,
2y = 8
or, y = 4 ......(3)
Now, from (1) and (3), we get,
x + 4 = 12
or, x = 12 - 4
or, x = 8

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Bangladesh Bank - Assistant Director - 2012

3 . 12 marbles are selected at random form a large collection of white, red, green and yellow marbles. The number of marbles of each color is unlimited. Find the probability that the selection contains at least one marble of each color?

A. $\frac{34}{91}$
B. $\frac{23}{31}$
C. $\frac{36}{91}$
D. $\frac{33}{91}$

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Answer: Option D

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Sonali- Rupali- Bangladesh Krishi- Rajshahi krishi unnayn-Investment Corporation of Bangladesh | 30.11.2018

A. 5/7
B. 2/7
C. 10/21
D. 11/21

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Answer: Option C

Explanation:

Total number of balls
= (2 + 3 + 2)
= 7
Let S be the sample space
Then, n(S) = Number of ways of drawing 2 balls out of 7
n(S) = 7C2
n(S) = (7 × 6)/(2 × 1)
n(S) = 21
Let E = Event of 2 balls, none of which is blue
∴ n(E) = Number of ways of drawing 2 balls out of (2 + 3) balls
n(E) = 5C2
n(E) = (5 × 4)/(2 × 1)
n(E) = 10
∴P(E) = n(E)/n(S) = 10/21

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সমন্বিত ৬ (ব্যাংক) ও ২ টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার ১০.০৬.২০১৯

A. 1/6
B. 14/33
C. 2/3
D. 5/6

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Answer: Option C

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6 . A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at rand dom from the bag. The probability that all of them are red.is:

A. $\frac{1}{22}$
B. $\frac{2}{91}$
C. $\frac{3}{22}$
D. $\frac{2}{77}$

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Answer: Option B

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অফিসার (ক্যাশ ) - Sonali | Rupali | BD Krishi | Rajshahi Krishi Unnayn | Investment Corporation Of Bangladesh - ২৯. ০৩.২০১৯

A. 3/4
B. 4/7
C. 1/8
D. 3/7

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Answer: Option B

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8 . A bag cotains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is -

A. 1/22
B. 2/91
C. 3/22
D. 2/77

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Answer: Option B

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9 . A box contains 10 electric bulbs from which 2 bulbs are defective. Two bulbs are chosen at random. What is the probability that one of them is defective?

A. 3/10
B. 25/68
C. 16/45
D. 8/33

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Answer: Option C

Explanation:

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Basic bank recruitment 2018; auditor 26.01.2018 || Image 2018

A. 7/19
B. 6/19
C. 5/19
D. 3/19

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Answer: Option C

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11 . A box contains 21 balls numbered 1 to 21 . A ball numbered 1 to 21 . A ball is drawn and then another ball is brawn without replacement . What is the probability that both balls are even numbered?

A. 2/7
B. 3/14
C. 8/21
D. 5/21

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Answer: Option B

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জনতা ও রূপালী ব্যাংক- অফিসার ১৩.১২.২০১৯

A. 2/17
B. 4/17
C. 4/11
D. 3/13

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Answer: Option B

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13 . A card is randomly drawn from a deck of 52 cards. What is the probability of getting a king or Queen ?

A. 3/13
B. 2/13
C. 1/13
D. 4/13

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Answer: Option D

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14 . A certain jar contain 60 jellybeans where 22 white, 18 green, 11 yellow, 5 red and 4 purple. If a jellybean is to be chosen at random, what is the probability that the jellybean will be neither red not purple?

A. 0.09
B. 0.85
C. 0.54
D. 0.91

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Answer: Option B

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Dhaka Bank Ltd | Probationary Officer | 05-02-2021

15 . A coin is thrown 3 times in the air. What is the probability that one head is followed by two tails?

A. $\frac{1}{2}$
B. $\frac{1}{4}$
C. $\frac{1}{8}$
D. $\frac{5}{6}$

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Answer: Option C

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সমন্বিত ৫ ব্যাংক | অফিসার ক্যাশ | 25-03-2022 ||

1 . A box contains 5 pink , 3 green and 2 yellow balls, Three balls are picked up randomly. What is the probability that none of the ball drawn is green

BdMerit-এর ১ বছরের প্রিমিয়াম প্যাকেজ কিনে ১০ মাস নিয়মিত প্রস্তুতি নিন—

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2 . Ina zoo , each pigeon has 2 legs, and each rabbit has 4 legs. The head count of the two species together is 12 , and the leg count is 32. How many pigeons and how main rabbits are there in the zoo ?

4 . A bag contains 2 red, 3 green and 2 blue balls .Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

5 . A bag contains 2 red Roses, 4 yellow Roses and 6 pink Roses. Two roses are drawn at random. What is the probability that they are not of same color?

7 . A bag contains 6 black and 8 white . One ball is drawn at random. What is the probability that the ball drawn is white ?

8 . A bag cotains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is -

9 . A box contains 10 electric bulbs from which 2 bulbs are defective. Two bulbs are chosen at random. What is the probability that one of them is defective?

10 . a box contains 20 electric bulbs , out of which 4 are defective . 2 bulbs are chosen at random from this box . The probability that at least one of these is defective is

11 . A box contains 21 balls numbered 1 to 21 . A ball numbered 1 to 21 . A ball is drawn and then another ball is brawn without replacement . What is the probability that both balls are even numbered?

12 . A box contains 4 tennis ball 6 season and 8 dues balls . 3 balls are randomly drawn from the box. What is the probability that the balls are different ?

13 . A card is randomly drawn from a deck of 52 cards. What is the probability of getting a king or Queen ?

14 . A certain jar contain 60 jellybeans where 22 white, 18 green, 11 yellow, 5 red and 4 purple. If a jellybean is to be chosen at random, what is the probability that the jellybean will be neither red not purple?

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