61 . There are 3 green , 4 orange and 5 white color bulbs in a bag. If a bulb is picked at random, what is probability of having either a green or a white bulb?

A. 2/3
B. 3/4
C. 4/3
D. 2/5

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Answer: Option A

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62 . There are 4 women and 4 men sitting in a waiting room for job interview. If two of the applicants are selected at random, what is the probalility that both will be women?

A. 1/2
B. 3/7
C. 3/4
D. 3/14
E. None of these

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Answer: Option D

Explanation:

মোট লোক সংখ্যা = (৪ + ৪) জন = ৮ জন

৪ জন হতে ১ জন মহিলা হওয়ার সম্ভাবনা = ৪/৮ = ১/২

বাকি ৩ জন মহিলা ও ৪ জন পুরুষ হতে ১ জন মহিলা হবার সম্ভাবনা = ৩/৭

দুইজন মহিলা হবার সম্ভাবনা = ১/২ × ৩/৭ = ৩/১৪

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63 . there are 5 red and 3 black in a bag probability of drawing a black ball is

A. 5/8
B. 1/2
C. 3/8
D. 1/4

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Answer: Option C

Explanation:

মোট বলের সংখ্যা = 5 + 3 = 8 টি

কালো বলের সংখ্যা = 3 টি

একটি কালো বল উঠার সম্ভাব্যতা = 3/8

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Sonali Bank Ltd. Senior Officer Recruitment 01.06.2018

A. 1/ 2
B. 3/7
C. 1/4
D. 3/12

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Answer: Option D

Explanation:

The probability that two women are selected is as follows:

4/8 x 3/7 = 1/2 x 3/7 = 3/14.

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65 . There are deer and peacocks in a zoo. The total number of their heads is 80 and the total number of their legs is 200. How many peacocks are there?

A. 20
B. 30
C. 50
D. 60
E. None of these

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Answer: Option D

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66 . Three coins are tossed. Find the probability of at least one head and one tail.

A. 1/2
B. 1/4
C. 3/4
D. 2/3
E. none of these

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Answer: Option D

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67 . Three dice are thrown together. Find the probability of getting a total of at least 6 ?

A. $\frac{103}{108}$
B. $\frac{103}{208}$
C. $\frac{103}{216}$
D. $\frac{96}{103}$

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Answer: Option A

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Officer (General) |-Sonali | Janata | Bangladesh Krishi_Bangladesh Development bank ২৪.০৫.২০১৯

A. 1/9
B. 5/9
C. 8/9
D. 4/9

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Answer: Option A

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Officer (General) |-Sonali | Janata | Bangladesh Krishi_Bangladesh Development bank ২৪.০৫.২০১৯

A. 1/2
B. 2/5
C. 8/15
D. 9/20
E. None of them

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Answer: Option D

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70 . Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart , is :

A. 3/20
B. 13/102
C. 29/34
D. 47/100

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Answer: Option B

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71 . What is probability than an integer selected at random from those between 20 ans 100 inclusive is a multiple of 15?

A. 5/79
B. 2/27
C. 5/81
D. 6/79

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Answer: Option C

Explanation:

To find the probability that an integer selected at random from those between 20 and 100 inclusive is a multiple of 15, we first need to count the number of multiples of 15 in that range and then divide it by the total number of integers in that range.

Step 1: Find the number of multiples of 15 between 20 and 100.

The first multiple of 15 in that range is 15 itself. The last multiple of 15 in that range is 90.

So, we need to count how many multiples of 15 are there between 15 and 90.

Using the formula for counting multiples in a range:

Number of multiples = (Last multiple - First multiple) / Common multiple

Number of multiples = (90 - 15) / 15 = 75 / 15 = 5

There are 5 multiples of 15 between 20 and 100.

Step 2: Find the total number of integers between 20 and 100.

To find the total number of integers in that range, we subtract the lower bound (20) from the upper bound (100) and add 1.

Total number of integers = 100 - 20 + 1 = 81

Now, we can calculate the probability:

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

Probability = (Number of multiples of 15) / (Total number of integers) = 5 / 81

So, the probability that an integer selected at random from those between 20 and 100 inclusive is a multiple of 15 is 5/81.

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সমন্বিত ৭ ব্যাংক ও ১টি আর্থিক | সিনিয়র_অফিসার | 27-11-2021

72 . what is the probability that an integer selected at random from those between 10 and 100 inclusive is a multiple of 5 or 9?

A. $\frac{27}{89}$
B. $\frac{20}{91}$
C. $\frac{27}{91}$
D. $\frac{23}{89}$

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Answer: Option C

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Assistant Director (General) 06.07.18

A. 1/3
B. 1/4
C. 1/2
D. 1/5

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Answer: Option B

Explanation:

Total integers; 20
even = odd = 10
Since odd x odd = odd and since half the integers 1 to 20 are odd, the probability of selecting two odd integers is 1/2 x 1/2 = 1/4.

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74 . When they had a meeting seven company executives T, U, V, W, X, Y and Z _ sit at a rectangular table .Three executives sit along one side of the table , and three sit along the other side, each directly opposite one of the other three. The seventh sits at the head of the table . There is no seat at the foot of the table . Ualways sits in one of te two seats farthest from the head of the table. Y and V always sit next to each other .V never sits next to Z . If Z does not sit at the head of the table, W sits there. If W sits directly opposite T, X must sit next to which of the following excutives?

A. T
B. U
C. V
D. Z

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Answer: Option A

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75 . When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?

A. 1/8
B. 1/4
C. 1/3
D. 3/8
E. 1/2

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Answer: Option C

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61 . There are 3 green , 4 orange and 5 white color bulbs in a bag. If a bulb is picked at random, what is probability of having either a green or a white bulb?

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62 . There are 4 women and 4 men sitting in a waiting room for job interview. If two of the applicants are selected at random, what is the probalility that both will be women?

63 . there are 5 red and 3 black in a bag probability of drawing a black ball is

64 . There are 8 job applicants sitting in waiting room; 4 women and 4 men. If two of the applicants are selected at random, what is the probability that both will be women?

65 . There are deer and peacocks in a zoo. The total number of their heads is 80 and the total number of their legs is 200. How many peacocks are there?

66 . Three coins are tossed. Find the probability of at least one head and one tail.

68 . Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is-

69 . Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. what is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

70 . Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart , is :

71 . What is probability than an integer selected at random from those between 20 ans 100 inclusive is a multiple of 15?

73 . What is the probability that product of two integers (not necessarily different integers ) randomly selected from the numbers 1 to 20, inclusive , is odd ?

75 . When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?

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