46 . In a container , there are 2 green marbles and 2 red marbles. You randomly pick the marbles. what is the probability that both of them are green?

A. 1/2
B. 1/4
C. 1/6
D. 1/3

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Answer: Option C

Explanation:

To find the probability that both marbles drawn are green, you can use the concept of probability.

First, let's consider the total number of ways to choose 2 marbles out of 4 (2 green and 2 red). This can be calculated using combinations, denoted as "C," and given by:

Total ways to choose 2 marbles from 4 = C(4, 2)

C(4, 2) = 4! / [2!(4 - 2)!] = (4 * 3) / (2 * 1) = 6

So, there are 6 equally likely ways to choose 2 marbles from the container.

Now, let's calculate the number of ways to choose 2 green marbles out of 2. This is simply 1 way because you can only choose both green marbles in one way.

Therefore, the probability of drawing 2 green marbles is:

Probability = (Number of favorable outcomes) / (Total number of outcomes)

Probability = 1 (favorable outcomes) / 6 (total outcomes)

Probability = 1/6

So, the probability that both marbles drawn are green is 1/6.

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Three Combined Bank Recruitment - Senior Officer 03 .08.2018 ||

A. 12
B. 10
C. 8
D. 6

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Answer: Option A

Explanation:

Let the number of buffaloes be x and the number of ducks be y.

Each buffalo has 1 head & 4 legs.

Each duck has 1 head & 2 legs.

So the number of heads =x+y and the number of legs=4x+2y.

So, by the given condition,

4x+2y=2(x+y)+24

⇒4x−2x+2y−2y=24

⇒2x=24

⇒x=12

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বাংলাদেশ ব্যাংক অফিসার ০২ -১২-২০২২

A. 5/7
B. 1/5
C. 2/7
D. 1/2

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Answer: Option C

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49 . In a simultaneous throw of two dice what is the probability of getting a double ?

A. 1/6
B. 1/4
C. 2/3
D. 1/3

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Answer: Option A

Explanation:

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Probashi Kallyan Bank-Officer (Cash)-25-09-2021

A. 850
B. 700
C. 600
D. 400

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Answer: Option C

Explanation:

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A. 1/9
B. 2/9
C. 4/9
D. 1/2
E. 5/9

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Answer: Option C

Explanation:

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52 . Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?

A. 1/6
B. 5/8
C. 3/8
D. 5/6

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Answer: Option D

Explanation:

Non-graduate = 10-4 = 6

P(non-graduate) = 6C3/10C3 = 1/6

P(graduate) = 1-1/6 = 6-1/6 = 5/6

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53 . Poppy flipped a coin three times and got heads each time. What is the probability that she gets heads on the next flip?

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

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Answer: Option C

Explanation:

মুদ্রাকে একবার নিক্ষেপে Head উঠার সম্ভবনা = 1/2

অতএব, একটি কয়েনকে 3 বার নিক্ষেপের পর

পরের বার অর্থাৎ ৪র্থ বার নিক্ষেপে

Head উঠার সম্ভবনা = 1/2

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প্রবেশনারি অফিসার | 02-04-2022

A. East
B. South
C. West
D. North
E. None of these

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Answer: Option C

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55 . The probability is 1/2 that a coin will turn up heads on any toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?

A. 1/8
B. 1/2
C. 7/8
D. None of these

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Answer: Option D

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56 . The probability of rolling any number of an wighted 6-sided die, with faces numbered 1 through 6, is directly proportional to the number rolled. What is the probability of getting 5, if the die is rolled only once?

A. 1/6
B. 5/6
C. 5/16
D. 5/21
E. None of these

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Answer: Option D

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57 . The probability that a student will graduate with honors and get a good job is 0.09 whereas the probability that a student will graduate with honors is 0.1. What is the probability that a student will get a good job if she graduates with honors?

A. 90%
B. 9%
C. 0.9%
D. 18%
E. None of these

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Answer: Option A

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58 . There are 15 balls in a box 8 balls are green 4 are blue and 3 are white. Then 1 green and 1 blue balls are taken from the box and put away. what is the probability that a blue ball is selected at random from the box?

A. 3/15
B. 4/15
C. 3/13
D. 4/13

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Answer: Option C

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59 . There are 15 boys and 10 girls in a class. If three students are selected at random, what is the probability that 1 girl and 2 boys are selected?

A. 1/40
B. 1/2
C. 21/46
D. 7/41

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Answer: Option C

Explanation:

1 girl & 2 boys can be selected in = (10C1) × (15C2) ways = 10 × 105 ways = 1050 ways.
3 students can be selected from 25 students = 25C3 = 2300 ways
Required probability = 1050/2300 = 21/46. Ans: C

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অফিসার (ক্যাশ) নিয়োগ পরীক্ষা- ১২-১০-২০১৮ ||

60 . There are 15 boys and 10 girls in a class. If three students are selected at random , what is the probability that 1 girl and 2 boys are selected?

A. $\frac{1}{40}$
B. $\frac{1}{2}$
C. $\frac{21}{46}$
D. $\frac{7}{41}$

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Answer: Option C

Explanation:

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46 . In a container , there are 2 green marbles and 2 red marbles. You randomly pick the marbles. what is the probability that both of them are green?

47 . In a group of buffaloes and ducks, the number of legs is 24 more than twice the number of heads. What is the number of buffaloes?

48 . In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random . What is the probability of getting a prize ?b

49 . In a simultaneous throw of two dice what is the probability of getting a double ?

50 . In an examination, 65% students passed in Mathematics and 60% students in English, 40% passed in both these subjects. If 90 students failed in Mathematics and English both, then what is the total number of students?

51 . Nine pieces of paper numbered consecutively from 1 to 9 are put into a hat. If one piece of paper is drawn at random from the hat, what is the probability that will have an even number?

52 . Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?

53 . Poppy flipped a coin three times and got heads each time. What is the probability that she gets heads on the next flip?

54 . Raj starts from his home and walks 5 miles towards east, then turns left and walks 3 miles, and then again turns left and walks 2 miles. Raj is now heading towards ---

55 . The probability is 1/2 that a coin will turn up heads on any toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?

56 . The probability of rolling any number of an wighted 6-sided die, with faces numbered 1 through 6, is directly proportional to the number rolled. What is the probability of getting 5, if the die is rolled only once?

57 . The probability that a student will graduate with honors and get a good job is 0.09 whereas the probability that a student will graduate with honors is 0.1. What is the probability that a student will get a good job if she graduates with honors?

58 . There are 15 balls in a box 8 balls are green 4 are blue and 3 are white. Then 1 green and 1 blue balls are taken from the box and put away. what is the probability that a blue ball is selected at random from the box?

59 . There are 15 boys and 10 girls in a class. If three students are selected at random, what is the probability that 1 girl and 2 boys are selected?

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